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Finding the Fourth Proportional to 713.38, 984.42 and 398.66

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Solution

The fourth proportional to 713.38, 984.42 and 398.66 is: 550.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.38 : 984.42 = 398.66 : x
  2. Step 2: Convert to fraction form
    713.38/984.42 = 398.66/x
  3. Step 3: Cross multiply
    713.38x = 984.42 × 398.66
  4. Step 4: Simplify right side
    713.38x = 392,445.42
  5. Step 5: Solve for x
    x = 392,445.42/713.38
  6. Step 6: Final answer
    x = 550.12

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1.5x scale

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.