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Finding the Fourth Proportional to 713.22, 1,070.19 and 280.38

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Solution

The fourth proportional to 713.22, 1,070.19 and 280.38 is: 420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.22 : 1,070.19 = 280.38 : x
  2. Step 2: Convert to fraction form
    713.22/1,070.19 = 280.38/x
  3. Step 3: Cross multiply
    713.22x = 1,070.19 × 280.38
  4. Step 4: Simplify right side
    713.22x = 300,059.87
  5. Step 5: Solve for x
    x = 300,059.87/713.22
  6. Step 6: Final answer
    x = 420.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.