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Finding the Fourth Proportional to 457.52, 685.64 and 240.66

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Solution

The fourth proportional to 457.52, 685.64 and 240.66 is: 360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.52 : 685.64 = 240.66 : x
  2. Step 2: Convert to fraction form
    457.52/685.64 = 240.66/x
  3. Step 3: Cross multiply
    457.52x = 685.64 × 240.66
  4. Step 4: Simplify right side
    457.52x = 165,006.12
  5. Step 5: Solve for x
    x = 165,006.12/457.52
  6. Step 6: Final answer
    x = 360.65

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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.