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Finding the Fourth Proportional to 456.38, 629.48 and 308.76

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Solution

The fourth proportional to 456.38, 629.48 and 308.76 is: 425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.38 : 629.48 = 308.76 : x
  2. Step 2: Convert to fraction form
    456.38/629.48 = 308.76/x
  3. Step 3: Cross multiply
    456.38x = 629.48 × 308.76
  4. Step 4: Simplify right side
    456.38x = 194,358.24
  5. Step 5: Solve for x
    x = 194,358.24/456.38
  6. Step 6: Final answer
    x = 425.87

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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.