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Finding the Fourth Proportional to 310.97, 466.46 and 294.57

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Solution

The fourth proportional to 310.97, 466.46 and 294.57 is: 441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.97 : 466.46 = 294.57 : x
  2. Step 2: Convert to fraction form
    310.97/466.46 = 294.57/x
  3. Step 3: Cross multiply
    310.97x = 466.46 × 294.57
  4. Step 4: Simplify right side
    310.97x = 137,404.75
  5. Step 5: Solve for x
    x = 137,404.75/310.97
  6. Step 6: Final answer
    x = 441.86

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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.