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Finding the Fourth Proportional to 457.65, 685.46 and 240.77

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Solution

The fourth proportional to 457.65, 685.46 and 240.77 is: 360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.65 : 685.46 = 240.77 : x
  2. Step 2: Convert to fraction form
    457.65/685.46 = 240.77/x
  3. Step 3: Cross multiply
    457.65x = 685.46 × 240.77
  4. Step 4: Simplify right side
    457.65x = 165,040.52
  5. Step 5: Solve for x
    x = 165,040.52/457.65
  6. Step 6: Final answer
    x = 360.63

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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.