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Finding the Fourth Proportional to 557.48, 769.54 and 542.76

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Solution

The fourth proportional to 557.48, 769.54 and 542.76 is: 749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.48 : 769.54 = 542.76 : x
  2. Step 2: Convert to fraction form
    557.48/769.54 = 542.76/x
  3. Step 3: Cross multiply
    557.48x = 769.54 × 542.76
  4. Step 4: Simplify right side
    557.48x = 417,675.53
  5. Step 5: Solve for x
    x = 417,675.53/557.48
  6. Step 6: Final answer
    x = 749.22

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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.