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Finding the Fourth Proportional to 674.14, 1,010.58 and 365.54

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Solution

The fourth proportional to 674.14, 1,010.58 and 365.54 is: 547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.14 : 1,010.58 = 365.54 : x
  2. Step 2: Convert to fraction form
    674.14/1,010.58 = 365.54/x
  3. Step 3: Cross multiply
    674.14x = 1,010.58 × 365.54
  4. Step 4: Simplify right side
    674.14x = 369,407.41
  5. Step 5: Solve for x
    x = 369,407.41/674.14
  6. Step 6: Final answer
    x = 547.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.