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Finding the Fourth Proportional to 674.34, 1,010.96 and 257.64

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Solution

The fourth proportional to 674.34, 1,010.96 and 257.64 is: 386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.34 : 1,010.96 = 257.64 : x
  2. Step 2: Convert to fraction form
    674.34/1,010.96 = 257.64/x
  3. Step 3: Cross multiply
    674.34x = 1,010.96 × 257.64
  4. Step 4: Simplify right side
    674.34x = 260,463.73
  5. Step 5: Solve for x
    x = 260,463.73/674.34
  6. Step 6: Final answer
    x = 386.25

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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.