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Finding the Fourth Proportional to 562.33, 775.33 and 463.92

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Solution

The fourth proportional to 562.33, 775.33 and 463.92 is: 639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.33 : 775.33 = 463.92 : x
  2. Step 2: Convert to fraction form
    562.33/775.33 = 463.92/x
  3. Step 3: Cross multiply
    562.33x = 775.33 × 463.92
  4. Step 4: Simplify right side
    562.33x = 359,691.09
  5. Step 5: Solve for x
    x = 359,691.09/562.33
  6. Step 6: Final answer
    x = 639.64

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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.