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Finding the Fourth Proportional to 456.14, 683.28 and 239.25

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Solution

The fourth proportional to 456.14, 683.28 and 239.25 is: 358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.14 : 683.28 = 239.25 : x
  2. Step 2: Convert to fraction form
    456.14/683.28 = 239.25/x
  3. Step 3: Cross multiply
    456.14x = 683.28 × 239.25
  4. Step 4: Simplify right side
    456.14x = 163,474.74
  5. Step 5: Solve for x
    x = 163,474.74/456.14
  6. Step 6: Final answer
    x = 358.39

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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.