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Finding the Fourth Proportional to 724.26, 999.57 and 458.85

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Solution

The fourth proportional to 724.26, 999.57 and 458.85 is: 633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.26 : 999.57 = 458.85 : x
  2. Step 2: Convert to fraction form
    724.26/999.57 = 458.85/x
  3. Step 3: Cross multiply
    724.26x = 999.57 × 458.85
  4. Step 4: Simplify right side
    724.26x = 458,652.69
  5. Step 5: Solve for x
    x = 458,652.69/724.26
  6. Step 6: Final answer
    x = 633.27

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1.5x scale

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.