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Finding the Fourth Proportional to 597.50, 824.47 and 348.76

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Solution

The fourth proportional to 597.50, 824.47 and 348.76 is: 481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.50 : 824.47 = 348.76 : x
  2. Step 2: Convert to fraction form
    597.50/824.47 = 348.76/x
  3. Step 3: Cross multiply
    597.50x = 824.47 × 348.76
  4. Step 4: Simplify right side
    597.50x = 287,542.16
  5. Step 5: Solve for x
    x = 287,542.16/597.50
  6. Step 6: Final answer
    x = 481.24

Related Problems

Find fourth proportional to 298.75, 412.24 and 174.38
Half scale
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Double scale
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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.