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Finding the Fourth Proportional to 674.72, 1,010.48 and 344.85

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Solution

The fourth proportional to 674.72, 1,010.48 and 344.85 is: 516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.72 : 1,010.48 = 344.85 : x
  2. Step 2: Convert to fraction form
    674.72/1,010.48 = 344.85/x
  3. Step 3: Cross multiply
    674.72x = 1,010.48 × 344.85
  4. Step 4: Simplify right side
    674.72x = 348,458.51
  5. Step 5: Solve for x
    x = 348,458.51/674.72
  6. Step 6: Final answer
    x = 516.45

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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.