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Finding the Fourth Proportional to 317.87, 476.82 and 86.78

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Solution

The fourth proportional to 317.87, 476.82 and 86.78 is: 130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.87 : 476.82 = 86.78 : x
  2. Step 2: Convert to fraction form
    317.87/476.82 = 86.78/x
  3. Step 3: Cross multiply
    317.87x = 476.82 × 86.78
  4. Step 4: Simplify right side
    317.87x = 41,378.44
  5. Step 5: Solve for x
    x = 41,378.44/317.87
  6. Step 6: Final answer
    x = 130.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.