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Finding the Fourth Proportional to 362.61, 542.91 and 301.97

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Solution

The fourth proportional to 362.61, 542.91 and 301.97 is: 452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.61 : 542.91 = 301.97 : x
  2. Step 2: Convert to fraction form
    362.61/542.91 = 301.97/x
  3. Step 3: Cross multiply
    362.61x = 542.91 × 301.97
  4. Step 4: Simplify right side
    362.61x = 163,939.82
  5. Step 5: Solve for x
    x = 163,939.82/362.61
  6. Step 6: Final answer
    x = 452.11

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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.