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Finding the Fourth Proportional to 457.22, 685.28 and 240.14

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Solution

The fourth proportional to 457.22, 685.28 and 240.14 is: 359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.22 : 685.28 = 240.14 : x
  2. Step 2: Convert to fraction form
    457.22/685.28 = 240.14/x
  3. Step 3: Cross multiply
    457.22x = 685.28 × 240.14
  4. Step 4: Simplify right side
    457.22x = 164,563.14
  5. Step 5: Solve for x
    x = 164,563.14/457.22
  6. Step 6: Final answer
    x = 359.92

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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.