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Finding the Fourth Proportional to 363.83, 542.00 and 341.42

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Solution

The fourth proportional to 363.83, 542.00 and 341.42 is: 508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.83 : 542.00 = 341.42 : x
  2. Step 2: Convert to fraction form
    363.83/542.00 = 341.42/x
  3. Step 3: Cross multiply
    363.83x = 542.00 × 341.42
  4. Step 4: Simplify right side
    363.83x = 185,049.29
  5. Step 5: Solve for x
    x = 185,049.29/363.83
  6. Step 6: Final answer
    x = 508.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.