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Finding the Fourth Proportional to 713.40, 1,070.22 and 280.92

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Solution

The fourth proportional to 713.40, 1,070.22 and 280.92 is: 421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.40 : 1,070.22 = 280.92 : x
  2. Step 2: Convert to fraction form
    713.40/1,070.22 = 280.92/x
  3. Step 3: Cross multiply
    713.40x = 1,070.22 × 280.92
  4. Step 4: Simplify right side
    713.40x = 300,646.20
  5. Step 5: Solve for x
    x = 300,646.20/713.40
  6. Step 6: Final answer
    x = 421.43

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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.