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Finding the Fourth Proportional to 402.19, 603.27 and 128.28

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Solution

The fourth proportional to 402.19, 603.27 and 128.28 is: 192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.19 : 603.27 = 128.28 : x
  2. Step 2: Convert to fraction form
    402.19/603.27 = 128.28/x
  3. Step 3: Cross multiply
    402.19x = 603.27 × 128.28
  4. Step 4: Simplify right side
    402.19x = 77,387.48
  5. Step 5: Solve for x
    x = 77,387.48/402.19
  6. Step 6: Final answer
    x = 192.42

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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.