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Finding the Fourth Proportional to 562.25, 775.90 and 313.61

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Solution

The fourth proportional to 562.25, 775.90 and 313.61 is: 432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.25 : 775.90 = 313.61 : x
  2. Step 2: Convert to fraction form
    562.25/775.90 = 313.61/x
  3. Step 3: Cross multiply
    562.25x = 775.90 × 313.61
  4. Step 4: Simplify right side
    562.25x = 243,330.00
  5. Step 5: Solve for x
    x = 243,330.00/562.25
  6. Step 6: Final answer
    x = 432.78

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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.