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Finding the Fourth Proportional to 334.24, 500.15 and 275.92

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Solution

The fourth proportional to 334.24, 500.15 and 275.92 is: 412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.24 : 500.15 = 275.92 : x
  2. Step 2: Convert to fraction form
    334.24/500.15 = 275.92/x
  3. Step 3: Cross multiply
    334.24x = 500.15 × 275.92
  4. Step 4: Simplify right side
    334.24x = 138,000.01
  5. Step 5: Solve for x
    x = 138,000.01/334.24
  6. Step 6: Final answer
    x = 412.88

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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.