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Finding the Fourth Proportional to 456.84, 685.28 and 240.48

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Solution

The fourth proportional to 456.84, 685.28 and 240.48 is: 360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 685.28 = 240.48 : x
  2. Step 2: Convert to fraction form
    456.84/685.28 = 240.48/x
  3. Step 3: Cross multiply
    456.84x = 685.28 × 240.48
  4. Step 4: Simplify right side
    456.84x = 164,796.13
  5. Step 5: Solve for x
    x = 164,796.13/456.84
  6. Step 6: Final answer
    x = 360.73

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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.