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Finding the Fourth Proportional to 456.60, 685.42 and 240.12

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Solution

The fourth proportional to 456.60, 685.42 and 240.12 is: 360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.60 : 685.42 = 240.12 : x
  2. Step 2: Convert to fraction form
    456.60/685.42 = 240.12/x
  3. Step 3: Cross multiply
    456.60x = 685.42 × 240.12
  4. Step 4: Simplify right side
    456.60x = 164,583.05
  5. Step 5: Solve for x
    x = 164,583.05/456.60
  6. Step 6: Final answer
    x = 360.45

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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.