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Finding the Fourth Proportional to 542.13, 813.39 and 253.59

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Solution

The fourth proportional to 542.13, 813.39 and 253.59 is: 380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.13 : 813.39 = 253.59 : x
  2. Step 2: Convert to fraction form
    542.13/813.39 = 253.59/x
  3. Step 3: Cross multiply
    542.13x = 813.39 × 253.59
  4. Step 4: Simplify right side
    542.13x = 206,267.57
  5. Step 5: Solve for x
    x = 206,267.57/542.13
  6. Step 6: Final answer
    x = 380.48

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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.