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Finding the Fourth Proportional to 713.14, 984.12 and 402.64

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Solution

The fourth proportional to 713.14, 984.12 and 402.64 is: 555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.14 : 984.12 = 402.64 : x
  2. Step 2: Convert to fraction form
    713.14/984.12 = 402.64/x
  3. Step 3: Cross multiply
    713.14x = 984.12 × 402.64
  4. Step 4: Simplify right side
    713.14x = 396,246.08
  5. Step 5: Solve for x
    x = 396,246.08/713.14
  6. Step 6: Final answer
    x = 555.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.