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Finding the Fourth Proportional to 485.33, 724.68 and 457.52

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Solution

The fourth proportional to 485.33, 724.68 and 457.52 is: 683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.33 : 724.68 = 457.52 : x
  2. Step 2: Convert to fraction form
    485.33/724.68 = 457.52/x
  3. Step 3: Cross multiply
    485.33x = 724.68 × 457.52
  4. Step 4: Simplify right side
    485.33x = 331,551.97
  5. Step 5: Solve for x
    x = 331,551.97/485.33
  6. Step 6: Final answer
    x = 683.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.