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Finding the Fourth Proportional to 362.48, 502.70 and 349.52

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Solution

The fourth proportional to 362.48, 502.70 and 349.52 is: 484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.48 : 502.70 = 349.52 : x
  2. Step 2: Convert to fraction form
    362.48/502.70 = 349.52/x
  3. Step 3: Cross multiply
    362.48x = 502.70 × 349.52
  4. Step 4: Simplify right side
    362.48x = 175,703.70
  5. Step 5: Solve for x
    x = 175,703.70/362.48
  6. Step 6: Final answer
    x = 484.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.