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Finding the Fourth Proportional to 362.13, 542.34 and 258.93

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Solution

The fourth proportional to 362.13, 542.34 and 258.93 is: 387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.13 : 542.34 = 258.93 : x
  2. Step 2: Convert to fraction form
    362.13/542.34 = 258.93/x
  3. Step 3: Cross multiply
    362.13x = 542.34 × 258.93
  4. Step 4: Simplify right side
    362.13x = 140,428.10
  5. Step 5: Solve for x
    x = 140,428.10/362.13
  6. Step 6: Final answer
    x = 387.78

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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.