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Finding the Fourth Proportional to 638.28, 954.72 and 597.24

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Solution

The fourth proportional to 638.28, 954.72 and 597.24 is: 893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.28 : 954.72 = 597.24 : x
  2. Step 2: Convert to fraction form
    638.28/954.72 = 597.24/x
  3. Step 3: Cross multiply
    638.28x = 954.72 × 597.24
  4. Step 4: Simplify right side
    638.28x = 570,196.97
  5. Step 5: Solve for x
    x = 570,196.97/638.28
  6. Step 6: Final answer
    x = 893.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.