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Finding the Fourth Proportional to 402.76, 604 and 311.23

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Solution

The fourth proportional to 402.76, 604 and 311.23 is: 466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.76 : 604 = 311.23 : x
  2. Step 2: Convert to fraction form
    402.76/604 = 311.23/x
  3. Step 3: Cross multiply
    402.76x = 604 × 311.23
  4. Step 4: Simplify right side
    402.76x = 187,982.92
  5. Step 5: Solve for x
    x = 187,982.92/402.76
  6. Step 6: Final answer
    x = 466.74

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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.