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Finding the Fourth Proportional to 674.85, 931.66 and 409.34

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Solution

The fourth proportional to 674.85, 931.66 and 409.34 is: 565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.85 : 931.66 = 409.34 : x
  2. Step 2: Convert to fraction form
    674.85/931.66 = 409.34/x
  3. Step 3: Cross multiply
    674.85x = 931.66 × 409.34
  4. Step 4: Simplify right side
    674.85x = 381,365.70
  5. Step 5: Solve for x
    x = 381,365.70/674.85
  6. Step 6: Final answer
    x = 565.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.