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Finding the Fourth Proportional to 456.52, 629.26 and 308.90

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Solution

The fourth proportional to 456.52, 629.26 and 308.90 is: 425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.52 : 629.26 = 308.90 : x
  2. Step 2: Convert to fraction form
    456.52/629.26 = 308.90/x
  3. Step 3: Cross multiply
    456.52x = 629.26 × 308.90
  4. Step 4: Simplify right side
    456.52x = 194,378.41
  5. Step 5: Solve for x
    x = 194,378.41/456.52
  6. Step 6: Final answer
    x = 425.78

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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.