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Finding the Fourth Proportional to 674.35, 1,010.78 and 284.24

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Solution

The fourth proportional to 674.35, 1,010.78 and 284.24 is: 426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.35 : 1,010.78 = 284.24 : x
  2. Step 2: Convert to fraction form
    674.35/1,010.78 = 284.24/x
  3. Step 3: Cross multiply
    674.35x = 1,010.78 × 284.24
  4. Step 4: Simplify right side
    674.35x = 287,297.63
  5. Step 5: Solve for x
    x = 287,297.63/674.35
  6. Step 6: Final answer
    x = 426.04

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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.