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Finding the Fourth Proportional to 677.28, 934.29 and 428.17

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Solution

The fourth proportional to 677.28, 934.29 and 428.17 is: 590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.28 : 934.29 = 428.17 : x
  2. Step 2: Convert to fraction form
    677.28/934.29 = 428.17/x
  3. Step 3: Cross multiply
    677.28x = 934.29 × 428.17
  4. Step 4: Simplify right side
    677.28x = 400,034.95
  5. Step 5: Solve for x
    x = 400,034.95/677.28
  6. Step 6: Final answer
    x = 590.65

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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.