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Finding the Fourth Proportional to 676.27, 932.28 and 545.05

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Solution

The fourth proportional to 676.27, 932.28 and 545.05 is: 751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.27 : 932.28 = 545.05 : x
  2. Step 2: Convert to fraction form
    676.27/932.28 = 545.05/x
  3. Step 3: Cross multiply
    676.27x = 932.28 × 545.05
  4. Step 4: Simplify right side
    676.27x = 508,139.21
  5. Step 5: Solve for x
    x = 508,139.21/676.27
  6. Step 6: Final answer
    x = 751.39

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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.