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Finding the Fourth Proportional to 456.57, 628.97 and 382.86

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Solution

The fourth proportional to 456.57, 628.97 and 382.86 is: 527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 628.97 = 382.86 : x
  2. Step 2: Convert to fraction form
    456.57/628.97 = 382.86/x
  3. Step 3: Cross multiply
    456.57x = 628.97 × 382.86
  4. Step 4: Simplify right side
    456.57x = 240,805.54
  5. Step 5: Solve for x
    x = 240,805.54/456.57
  6. Step 6: Final answer
    x = 527.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.