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Finding the Fourth Proportional to 570.53, 785.97 and 542.74

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Solution

The fourth proportional to 570.53, 785.97 and 542.74 is: 747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.53 : 785.97 = 542.74 : x
  2. Step 2: Convert to fraction form
    570.53/785.97 = 542.74/x
  3. Step 3: Cross multiply
    570.53x = 785.97 × 542.74
  4. Step 4: Simplify right side
    570.53x = 426,576.87
  5. Step 5: Solve for x
    x = 426,576.87/570.53
  6. Step 6: Final answer
    x = 747.68

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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.