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Finding the Fourth Proportional to 456.22, 685.14 and 239.14

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Solution

The fourth proportional to 456.22, 685.14 and 239.14 is: 359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.22 : 685.14 = 239.14 : x
  2. Step 2: Convert to fraction form
    456.22/685.14 = 239.14/x
  3. Step 3: Cross multiply
    456.22x = 685.14 × 239.14
  4. Step 4: Simplify right side
    456.22x = 163,844.38
  5. Step 5: Solve for x
    x = 163,844.38/456.22
  6. Step 6: Final answer
    x = 359.13

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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.