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Finding the Fourth Proportional to 562.28, 775.94 and 329.48

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Solution

The fourth proportional to 562.28, 775.94 and 329.48 is: 454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.28 : 775.94 = 329.48 : x
  2. Step 2: Convert to fraction form
    562.28/775.94 = 329.48/x
  3. Step 3: Cross multiply
    562.28x = 775.94 × 329.48
  4. Step 4: Simplify right side
    562.28x = 255,656.71
  5. Step 5: Solve for x
    x = 255,656.71/562.28
  6. Step 6: Final answer
    x = 454.68

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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.