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Finding the Fourth Proportional to 282.42, 422.91 and 258.66

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Solution

The fourth proportional to 282.42, 422.91 and 258.66 is: 387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.42 : 422.91 = 258.66 : x
  2. Step 2: Convert to fraction form
    282.42/422.91 = 258.66/x
  3. Step 3: Cross multiply
    282.42x = 422.91 × 258.66
  4. Step 4: Simplify right side
    282.42x = 109,389.90
  5. Step 5: Solve for x
    x = 109,389.90/282.42
  6. Step 6: Final answer
    x = 387.33

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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.