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Finding the Fourth Proportional to 677.47, 934.92 and 366.97

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Solution

The fourth proportional to 677.47, 934.92 and 366.97 is: 506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.47 : 934.92 = 366.97 : x
  2. Step 2: Convert to fraction form
    677.47/934.92 = 366.97/x
  3. Step 3: Cross multiply
    677.47x = 934.92 × 366.97
  4. Step 4: Simplify right side
    677.47x = 343,085.76
  5. Step 5: Solve for x
    x = 343,085.76/677.47
  6. Step 6: Final answer
    x = 506.42

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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.