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Finding the Fourth Proportional to 502.16, 752.76 and 274

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Solution

The fourth proportional to 502.16, 752.76 and 274 is: 410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.16 : 752.76 = 274 : x
  2. Step 2: Convert to fraction form
    502.16/752.76 = 274/x
  3. Step 3: Cross multiply
    502.16x = 752.76 × 274
  4. Step 4: Simplify right side
    502.16x = 206,256.24
  5. Step 5: Solve for x
    x = 206,256.24/502.16
  6. Step 6: Final answer
    x = 410.74

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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.