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Finding the Fourth Proportional to 543.23, 814.35 and 269.18

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Solution

The fourth proportional to 543.23, 814.35 and 269.18 is: 403.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.23 : 814.35 = 269.18 : x
  2. Step 2: Convert to fraction form
    543.23/814.35 = 269.18/x
  3. Step 3: Cross multiply
    543.23x = 814.35 × 269.18
  4. Step 4: Simplify right side
    543.23x = 219,206.73
  5. Step 5: Solve for x
    x = 219,206.73/543.23
  6. Step 6: Final answer
    x = 403.52

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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.