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Finding the Fourth Proportional to 588.67, 810.71 and 542.50

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Solution

The fourth proportional to 588.67, 810.71 and 542.50 is: 747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.67 : 810.71 = 542.50 : x
  2. Step 2: Convert to fraction form
    588.67/810.71 = 542.50/x
  3. Step 3: Cross multiply
    588.67x = 810.71 × 542.50
  4. Step 4: Simplify right side
    588.67x = 439,807.47
  5. Step 5: Solve for x
    x = 439,807.47/588.67
  6. Step 6: Final answer
    x = 747.12

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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.