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Finding the Fourth Proportional to 616.69, 925.53 and 287.78

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Solution

The fourth proportional to 616.69, 925.53 and 287.78 is: 431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.69 : 925.53 = 287.78 : x
  2. Step 2: Convert to fraction form
    616.69/925.53 = 287.78/x
  3. Step 3: Cross multiply
    616.69x = 925.53 × 287.78
  4. Step 4: Simplify right side
    616.69x = 266,349.02
  5. Step 5: Solve for x
    x = 266,349.02/616.69
  6. Step 6: Final answer
    x = 431.90

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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.