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Finding the Fourth Proportional to 334.28, 502.50 and 253.28

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Solution

The fourth proportional to 334.28, 502.50 and 253.28 is: 380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.28 : 502.50 = 253.28 : x
  2. Step 2: Convert to fraction form
    334.28/502.50 = 253.28/x
  3. Step 3: Cross multiply
    334.28x = 502.50 × 253.28
  4. Step 4: Simplify right side
    334.28x = 127,273.20
  5. Step 5: Solve for x
    x = 127,273.20/334.28
  6. Step 6: Final answer
    x = 380.74

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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.