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Finding the Fourth Proportional to 742.47, 1,113.51 and 280.23

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Solution

The fourth proportional to 742.47, 1,113.51 and 280.23 is: 420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.47 : 1,113.51 = 280.23 : x
  2. Step 2: Convert to fraction form
    742.47/1,113.51 = 280.23/x
  3. Step 3: Cross multiply
    742.47x = 1,113.51 × 280.23
  4. Step 4: Simplify right side
    742.47x = 312,038.91
  5. Step 5: Solve for x
    x = 312,038.91/742.47
  6. Step 6: Final answer
    x = 420.27

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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.