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Finding the Fourth Proportional to 284.15, 425.96 and 258.78

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Solution

The fourth proportional to 284.15, 425.96 and 258.78 is: 387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.15 : 425.96 = 258.78 : x
  2. Step 2: Convert to fraction form
    284.15/425.96 = 258.78/x
  3. Step 3: Cross multiply
    284.15x = 425.96 × 258.78
  4. Step 4: Simplify right side
    284.15x = 110,229.70
  5. Step 5: Solve for x
    x = 110,229.70/284.15
  6. Step 6: Final answer
    x = 387.93

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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.