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Finding the Fourth Proportional to 306.96, 422.87 and 260.18

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Solution

The fourth proportional to 306.96, 422.87 and 260.18 is: 358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.96 : 422.87 = 260.18 : x
  2. Step 2: Convert to fraction form
    306.96/422.87 = 260.18/x
  3. Step 3: Cross multiply
    306.96x = 422.87 × 260.18
  4. Step 4: Simplify right side
    306.96x = 110,022.32
  5. Step 5: Solve for x
    x = 110,022.32/306.96
  6. Step 6: Final answer
    x = 358.43

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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.