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Finding the Fourth Proportional to 713.14, 1,070.10 and 280.24

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Solution

The fourth proportional to 713.14, 1,070.10 and 280.24 is: 420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.14 : 1,070.10 = 280.24 : x
  2. Step 2: Convert to fraction form
    713.14/1,070.10 = 280.24/x
  3. Step 3: Cross multiply
    713.14x = 1,070.10 × 280.24
  4. Step 4: Simplify right side
    713.14x = 299,884.82
  5. Step 5: Solve for x
    x = 299,884.82/713.14
  6. Step 6: Final answer
    x = 420.51

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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.