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Finding the Fourth Proportional to 542.40, 813.19 and 282.05

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Solution

The fourth proportional to 542.40, 813.19 and 282.05 is: 422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.40 : 813.19 = 282.05 : x
  2. Step 2: Convert to fraction form
    542.40/813.19 = 282.05/x
  3. Step 3: Cross multiply
    542.40x = 813.19 × 282.05
  4. Step 4: Simplify right side
    542.40x = 229,359.05
  5. Step 5: Solve for x
    x = 229,359.05/542.40
  6. Step 6: Final answer
    x = 422.86

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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.