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Finding the Fourth Proportional to 363.95, 542.35 and 346.54

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Solution

The fourth proportional to 363.95, 542.35 and 346.54 is: 516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.95 : 542.35 = 346.54 : x
  2. Step 2: Convert to fraction form
    363.95/542.35 = 346.54/x
  3. Step 3: Cross multiply
    363.95x = 542.35 × 346.54
  4. Step 4: Simplify right side
    363.95x = 187,945.97
  5. Step 5: Solve for x
    x = 187,945.97/363.95
  6. Step 6: Final answer
    x = 516.41

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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.