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Finding the Fourth Proportional to 542.96, 748.72 and 418.64

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Solution

The fourth proportional to 542.96, 748.72 and 418.64 is: 577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.96 : 748.72 = 418.64 : x
  2. Step 2: Convert to fraction form
    542.96/748.72 = 418.64/x
  3. Step 3: Cross multiply
    542.96x = 748.72 × 418.64
  4. Step 4: Simplify right side
    542.96x = 313,444.14
  5. Step 5: Solve for x
    x = 313,444.14/542.96
  6. Step 6: Final answer
    x = 577.29

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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.