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Finding the Fourth Proportional to 597.46, 822.54 and 471.19

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Solution

The fourth proportional to 597.46, 822.54 and 471.19 is: 648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.46 : 822.54 = 471.19 : x
  2. Step 2: Convert to fraction form
    597.46/822.54 = 471.19/x
  3. Step 3: Cross multiply
    597.46x = 822.54 × 471.19
  4. Step 4: Simplify right side
    597.46x = 387,573.54
  5. Step 5: Solve for x
    x = 387,573.54/597.46
  6. Step 6: Final answer
    x = 648.70

Related Problems

Find fourth proportional to 298.73, 411.27 and 235.60
Half scale
Find fourth proportional to 1,194.92, 1,645.08 and 942.38
Double scale
Find fourth proportional to 598.46, 823.91 and 472.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.