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Finding the Fourth Proportional to 311.98, 468.14 and 288.76

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Solution

The fourth proportional to 311.98, 468.14 and 288.76 is: 433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.98 : 468.14 = 288.76 : x
  2. Step 2: Convert to fraction form
    311.98/468.14 = 288.76/x
  3. Step 3: Cross multiply
    311.98x = 468.14 × 288.76
  4. Step 4: Simplify right side
    311.98x = 135,180.11
  5. Step 5: Solve for x
    x = 135,180.11/311.98
  6. Step 6: Final answer
    x = 433.30

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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.