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Finding the Fourth Proportional to 713.17, 984.11 and 414.34

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Solution

The fourth proportional to 713.17, 984.11 and 414.34 is: 571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.17 : 984.11 = 414.34 : x
  2. Step 2: Convert to fraction form
    713.17/984.11 = 414.34/x
  3. Step 3: Cross multiply
    713.17x = 984.11 × 414.34
  4. Step 4: Simplify right side
    713.17x = 407,759.47
  5. Step 5: Solve for x
    x = 407,759.47/713.17
  6. Step 6: Final answer
    x = 571.76

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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.