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Finding the Fourth Proportional to 610.27, 913.88 and 472.16

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Solution

The fourth proportional to 610.27, 913.88 and 472.16 is: 707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.27 : 913.88 = 472.16 : x
  2. Step 2: Convert to fraction form
    610.27/913.88 = 472.16/x
  3. Step 3: Cross multiply
    610.27x = 913.88 × 472.16
  4. Step 4: Simplify right side
    610.27x = 431,501.05
  5. Step 5: Solve for x
    x = 431,501.05/610.27
  6. Step 6: Final answer
    x = 707.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.