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Finding the Fourth Proportional to 379.79, 568.31 and 314.18

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Solution

The fourth proportional to 379.79, 568.31 and 314.18 is: 470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.79 : 568.31 = 314.18 : x
  2. Step 2: Convert to fraction form
    379.79/568.31 = 314.18/x
  3. Step 3: Cross multiply
    379.79x = 568.31 × 314.18
  4. Step 4: Simplify right side
    379.79x = 178,551.64
  5. Step 5: Solve for x
    x = 178,551.64/379.79
  6. Step 6: Final answer
    x = 470.13

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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.