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Finding the Fourth Proportional to 553.73, 763.17 and 460.49

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Solution

The fourth proportional to 553.73, 763.17 and 460.49 is: 634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.73 : 763.17 = 460.49 : x
  2. Step 2: Convert to fraction form
    553.73/763.17 = 460.49/x
  3. Step 3: Cross multiply
    553.73x = 763.17 × 460.49
  4. Step 4: Simplify right side
    553.73x = 351,432.15
  5. Step 5: Solve for x
    x = 351,432.15/553.73
  6. Step 6: Final answer
    x = 634.66

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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.