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Finding the Fourth Proportional to 457.26, 685.80 and 237.66

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Solution

The fourth proportional to 457.26, 685.80 and 237.66 is: 356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.26 : 685.80 = 237.66 : x
  2. Step 2: Convert to fraction form
    457.26/685.80 = 237.66/x
  3. Step 3: Cross multiply
    457.26x = 685.80 × 237.66
  4. Step 4: Simplify right side
    457.26x = 162,987.23
  5. Step 5: Solve for x
    x = 162,987.23/457.26
  6. Step 6: Final answer
    x = 356.44

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