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Finding the Fourth Proportional to 409, 613.53 and 311.66

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Solution

The fourth proportional to 409, 613.53 and 311.66 is: 467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 613.53 = 311.66 : x
  2. Step 2: Convert to fraction form
    409/613.53 = 311.66/x
  3. Step 3: Cross multiply
    409x = 613.53 × 311.66
  4. Step 4: Simplify right side
    409x = 191,209.69
  5. Step 5: Solve for x
    x = 191,209.69/409
  6. Step 6: Final answer
    x = 467.51

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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.