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Finding the Fourth Proportional to 457.92, 685.80 and 417.24

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Solution

The fourth proportional to 457.92, 685.80 and 417.24 is: 624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.92 : 685.80 = 417.24 : x
  2. Step 2: Convert to fraction form
    457.92/685.80 = 417.24/x
  3. Step 3: Cross multiply
    457.92x = 685.80 × 417.24
  4. Step 4: Simplify right side
    457.92x = 286,143.19
  5. Step 5: Solve for x
    x = 286,143.19/457.92
  6. Step 6: Final answer
    x = 624.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.