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Finding the Fourth Proportional to 723.90, 999.14 and 458.17

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Solution

The fourth proportional to 723.90, 999.14 and 458.17 is: 632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.90 : 999.14 = 458.17 : x
  2. Step 2: Convert to fraction form
    723.90/999.14 = 458.17/x
  3. Step 3: Cross multiply
    723.90x = 999.14 × 458.17
  4. Step 4: Simplify right side
    723.90x = 457,775.97
  5. Step 5: Solve for x
    x = 457,775.97/723.90
  6. Step 6: Final answer
    x = 632.37

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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.