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Finding the Fourth Proportional to 596.25, 822.60 and 347.37

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Solution

The fourth proportional to 596.25, 822.60 and 347.37 is: 479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.25 : 822.60 = 347.37 : x
  2. Step 2: Convert to fraction form
    596.25/822.60 = 347.37/x
  3. Step 3: Cross multiply
    596.25x = 822.60 × 347.37
  4. Step 4: Simplify right side
    596.25x = 285,746.56
  5. Step 5: Solve for x
    x = 285,746.56/596.25
  6. Step 6: Final answer
    x = 479.24

Related Problems

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Half scale
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Double scale
Find fourth proportional to 597.25, 823.98 and 348.37
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.