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Finding the Fourth Proportional to 553.76, 763.92 and 406.16

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Solution

The fourth proportional to 553.76, 763.92 and 406.16 is: 560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.76 : 763.92 = 406.16 : x
  2. Step 2: Convert to fraction form
    553.76/763.92 = 406.16/x
  3. Step 3: Cross multiply
    553.76x = 763.92 × 406.16
  4. Step 4: Simplify right side
    553.76x = 310,273.75
  5. Step 5: Solve for x
    x = 310,273.75/553.76
  6. Step 6: Final answer
    x = 560.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.