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Finding the Fourth Proportional to 591.76, 817.14 and 494.56

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Solution

The fourth proportional to 591.76, 817.14 and 494.56 is: 682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.76 : 817.14 = 494.56 : x
  2. Step 2: Convert to fraction form
    591.76/817.14 = 494.56/x
  3. Step 3: Cross multiply
    591.76x = 817.14 × 494.56
  4. Step 4: Simplify right side
    591.76x = 404,124.76
  5. Step 5: Solve for x
    x = 404,124.76/591.76
  6. Step 6: Final answer
    x = 682.92

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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.