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Finding the Fourth Proportional to 676.15, 932.99 and 455.76

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Solution

The fourth proportional to 676.15, 932.99 and 455.76 is: 628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.15 : 932.99 = 455.76 : x
  2. Step 2: Convert to fraction form
    676.15/932.99 = 455.76/x
  3. Step 3: Cross multiply
    676.15x = 932.99 × 455.76
  4. Step 4: Simplify right side
    676.15x = 425,217.24
  5. Step 5: Solve for x
    x = 425,217.24/676.15
  6. Step 6: Final answer
    x = 628.88

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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.