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Finding the Fourth Proportional to 674.10, 1,010.81 and 235.19

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Solution

The fourth proportional to 674.10, 1,010.81 and 235.19 is: 352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.10 : 1,010.81 = 235.19 : x
  2. Step 2: Convert to fraction form
    674.10/1,010.81 = 235.19/x
  3. Step 3: Cross multiply
    674.10x = 1,010.81 × 235.19
  4. Step 4: Simplify right side
    674.10x = 237,726.17
  5. Step 5: Solve for x
    x = 237,726.17/674.10
  6. Step 6: Final answer
    x = 352.66

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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.