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Finding the Fourth Proportional to 402.54, 603.87 and 128.58

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Solution

The fourth proportional to 402.54, 603.87 and 128.58 is: 192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.54 : 603.87 = 128.58 : x
  2. Step 2: Convert to fraction form
    402.54/603.87 = 128.58/x
  3. Step 3: Cross multiply
    402.54x = 603.87 × 128.58
  4. Step 4: Simplify right side
    402.54x = 77,645.60
  5. Step 5: Solve for x
    x = 77,645.60/402.54
  6. Step 6: Final answer
    x = 192.89

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