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Finding the Fourth Proportional to 676.04, 932.90 and 427

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Solution

The fourth proportional to 676.04, 932.90 and 427 is: 589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.04 : 932.90 = 427 : x
  2. Step 2: Convert to fraction form
    676.04/932.90 = 427/x
  3. Step 3: Cross multiply
    676.04x = 932.90 × 427
  4. Step 4: Simplify right side
    676.04x = 398,348.30
  5. Step 5: Solve for x
    x = 398,348.30/676.04
  6. Step 6: Final answer
    x = 589.24

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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.