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Finding the Fourth Proportional to 742.71, 1,114.40 and 280.72

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Solution

The fourth proportional to 742.71, 1,114.40 and 280.72 is: 421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.71 : 1,114.40 = 280.72 : x
  2. Step 2: Convert to fraction form
    742.71/1,114.40 = 280.72/x
  3. Step 3: Cross multiply
    742.71x = 1,114.40 × 280.72
  4. Step 4: Simplify right side
    742.71x = 312,834.37
  5. Step 5: Solve for x
    x = 312,834.37/742.71
  6. Step 6: Final answer
    x = 421.21

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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.