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Finding the Fourth Proportional to 713.25, 984.36 and 414.62

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Solution

The fourth proportional to 713.25, 984.36 and 414.62 is: 572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.25 : 984.36 = 414.62 : x
  2. Step 2: Convert to fraction form
    713.25/984.36 = 414.62/x
  3. Step 3: Cross multiply
    713.25x = 984.36 × 414.62
  4. Step 4: Simplify right side
    713.25x = 408,130.42
  5. Step 5: Solve for x
    x = 408,130.42/713.25
  6. Step 6: Final answer
    x = 572.21

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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.