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Finding the Fourth Proportional to 562.25, 775.91 and 329.42

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Solution

The fourth proportional to 562.25, 775.91 and 329.42 is: 454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.25 : 775.91 = 329.42 : x
  2. Step 2: Convert to fraction form
    562.25/775.91 = 329.42/x
  3. Step 3: Cross multiply
    562.25x = 775.91 × 329.42
  4. Step 4: Simplify right side
    562.25x = 255,600.27
  5. Step 5: Solve for x
    x = 255,600.27/562.25
  6. Step 6: Final answer
    x = 454.60

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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.