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Finding the Fourth Proportional to 515.82, 711.10 and 422.12

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Solution

The fourth proportional to 515.82, 711.10 and 422.12 is: 581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.82 : 711.10 = 422.12 : x
  2. Step 2: Convert to fraction form
    515.82/711.10 = 422.12/x
  3. Step 3: Cross multiply
    515.82x = 711.10 × 422.12
  4. Step 4: Simplify right side
    515.82x = 300,169.53
  5. Step 5: Solve for x
    x = 300,169.53/515.82
  6. Step 6: Final answer
    x = 581.93

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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.