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Finding the Fourth Proportional to 724.19, 999.41 and 458.53

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Solution

The fourth proportional to 724.19, 999.41 and 458.53 is: 632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.19 : 999.41 = 458.53 : x
  2. Step 2: Convert to fraction form
    724.19/999.41 = 458.53/x
  3. Step 3: Cross multiply
    724.19x = 999.41 × 458.53
  4. Step 4: Simplify right side
    724.19x = 458,258.12
  5. Step 5: Solve for x
    x = 458,258.12/724.19
  6. Step 6: Final answer
    x = 632.79

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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.