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Finding the Fourth Proportional to 311.65, 429.50 and 224.17

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Solution

The fourth proportional to 311.65, 429.50 and 224.17 is: 308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.65 : 429.50 = 224.17 : x
  2. Step 2: Convert to fraction form
    311.65/429.50 = 224.17/x
  3. Step 3: Cross multiply
    311.65x = 429.50 × 224.17
  4. Step 4: Simplify right side
    311.65x = 96,280.50
  5. Step 5: Solve for x
    x = 96,280.50/311.65
  6. Step 6: Final answer
    x = 308.94

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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.