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Finding the Fourth Proportional to 456.23, 683.25 and 282.42

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Solution

The fourth proportional to 456.23, 683.25 and 282.42 is: 422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.23 : 683.25 = 282.42 : x
  2. Step 2: Convert to fraction form
    456.23/683.25 = 282.42/x
  3. Step 3: Cross multiply
    456.23x = 683.25 × 282.42
  4. Step 4: Simplify right side
    456.23x = 192,963.47
  5. Step 5: Solve for x
    x = 192,963.47/456.23
  6. Step 6: Final answer
    x = 422.96

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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.