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Finding the Fourth Proportional to 713.36, 1,070.24 and 280.64

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Solution

The fourth proportional to 713.36, 1,070.24 and 280.64 is: 421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.36 : 1,070.24 = 280.64 : x
  2. Step 2: Convert to fraction form
    713.36/1,070.24 = 280.64/x
  3. Step 3: Cross multiply
    713.36x = 1,070.24 × 280.64
  4. Step 4: Simplify right side
    713.36x = 300,352.15
  5. Step 5: Solve for x
    x = 300,352.15/713.36
  6. Step 6: Final answer
    x = 421.04

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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.