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Finding the Fourth Proportional to 338.31, 509.69 and 311.04

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Solution

The fourth proportional to 338.31, 509.69 and 311.04 is: 468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.31 : 509.69 = 311.04 : x
  2. Step 2: Convert to fraction form
    338.31/509.69 = 311.04/x
  3. Step 3: Cross multiply
    338.31x = 509.69 × 311.04
  4. Step 4: Simplify right side
    338.31x = 158,534.76
  5. Step 5: Solve for x
    x = 158,534.76/338.31
  6. Step 6: Final answer
    x = 468.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.