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Finding the Fourth Proportional to 562.86, 775.78 and 463.57

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Solution

The fourth proportional to 562.86, 775.78 and 463.57 is: 638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.86 : 775.78 = 463.57 : x
  2. Step 2: Convert to fraction form
    562.86/775.78 = 463.57/x
  3. Step 3: Cross multiply
    562.86x = 775.78 × 463.57
  4. Step 4: Simplify right side
    562.86x = 359,625.24
  5. Step 5: Solve for x
    x = 359,625.24/562.86
  6. Step 6: Final answer
    x = 638.92

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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.