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Finding the Fourth Proportional to 315.87, 473.82 and 84.78

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Solution

The fourth proportional to 315.87, 473.82 and 84.78 is: 127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.87 : 473.82 = 84.78 : x
  2. Step 2: Convert to fraction form
    315.87/473.82 = 84.78/x
  3. Step 3: Cross multiply
    315.87x = 473.82 × 84.78
  4. Step 4: Simplify right side
    315.87x = 40,170.46
  5. Step 5: Solve for x
    x = 40,170.46/315.87
  6. Step 6: Final answer
    x = 127.17

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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.