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Finding the Fourth Proportional to 285.77, 426.58 and 251.17

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Solution

The fourth proportional to 285.77, 426.58 and 251.17 is: 374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.77 : 426.58 = 251.17 : x
  2. Step 2: Convert to fraction form
    285.77/426.58 = 251.17/x
  3. Step 3: Cross multiply
    285.77x = 426.58 × 251.17
  4. Step 4: Simplify right side
    285.77x = 107,141.97
  5. Step 5: Solve for x
    x = 107,141.97/285.77
  6. Step 6: Final answer
    x = 374.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.