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Finding the Fourth Proportional to 542.16, 813.67 and 282.23

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Solution

The fourth proportional to 542.16, 813.67 and 282.23 is: 423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 813.67 = 282.23 : x
  2. Step 2: Convert to fraction form
    542.16/813.67 = 282.23/x
  3. Step 3: Cross multiply
    542.16x = 813.67 × 282.23
  4. Step 4: Simplify right side
    542.16x = 229,645.73
  5. Step 5: Solve for x
    x = 229,645.73/542.16
  6. Step 6: Final answer
    x = 423.58

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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.