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Finding the Fourth Proportional to 674.81, 1,010.79 and 350.40

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Solution

The fourth proportional to 674.81, 1,010.79 and 350.40 is: 524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.81 : 1,010.79 = 350.40 : x
  2. Step 2: Convert to fraction form
    674.81/1,010.79 = 350.40/x
  3. Step 3: Cross multiply
    674.81x = 1,010.79 × 350.40
  4. Step 4: Simplify right side
    674.81x = 354,180.82
  5. Step 5: Solve for x
    x = 354,180.82/674.81
  6. Step 6: Final answer
    x = 524.86

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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.