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Finding the Fourth Proportional to 457.39, 685.41 and 240.31

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Solution

The fourth proportional to 457.39, 685.41 and 240.31 is: 360.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.39 : 685.41 = 240.31 : x
  2. Step 2: Convert to fraction form
    457.39/685.41 = 240.31/x
  3. Step 3: Cross multiply
    457.39x = 685.41 × 240.31
  4. Step 4: Simplify right side
    457.39x = 164,710.88
  5. Step 5: Solve for x
    x = 164,710.88/457.39
  6. Step 6: Final answer
    x = 360.11

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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.