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Finding the Fourth Proportional to 869.72, 1,304.78 and 292.60

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Solution

The fourth proportional to 869.72, 1,304.78 and 292.60 is: 438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.72 : 1,304.78 = 292.60 : x
  2. Step 2: Convert to fraction form
    869.72/1,304.78 = 292.60/x
  3. Step 3: Cross multiply
    869.72x = 1,304.78 × 292.60
  4. Step 4: Simplify right side
    869.72x = 381,776.10
  5. Step 5: Solve for x
    x = 381,776.10/869.72
  6. Step 6: Final answer
    x = 438.96

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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.