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Finding the Fourth Proportional to 502.63, 753.38 and 271.63

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Solution

The fourth proportional to 502.63, 753.38 and 271.63 is: 407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.63 : 753.38 = 271.63 : x
  2. Step 2: Convert to fraction form
    502.63/753.38 = 271.63/x
  3. Step 3: Cross multiply
    502.63x = 753.38 × 271.63
  4. Step 4: Simplify right side
    502.63x = 204,638.33
  5. Step 5: Solve for x
    x = 204,638.33/502.63
  6. Step 6: Final answer
    x = 407.13

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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.