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Finding the Fourth Proportional to 553.23, 763.17 and 332.10

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Solution

The fourth proportional to 553.23, 763.17 and 332.10 is: 458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.23 : 763.17 = 332.10 : x
  2. Step 2: Convert to fraction form
    553.23/763.17 = 332.10/x
  3. Step 3: Cross multiply
    553.23x = 763.17 × 332.10
  4. Step 4: Simplify right side
    553.23x = 253,449.38
  5. Step 5: Solve for x
    x = 253,449.38/553.23
  6. Step 6: Final answer
    x = 458.13

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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.