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Finding the Fourth Proportional to 642.42, 963.45 and 459.27

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Solution

The fourth proportional to 642.42, 963.45 and 459.27 is: 688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.42 : 963.45 = 459.27 : x
  2. Step 2: Convert to fraction form
    642.42/963.45 = 459.27/x
  3. Step 3: Cross multiply
    642.42x = 963.45 × 459.27
  4. Step 4: Simplify right side
    642.42x = 442,483.68
  5. Step 5: Solve for x
    x = 442,483.68/642.42
  6. Step 6: Final answer
    x = 688.78

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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.