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Finding the Fourth Proportional to 543.13, 814.45 and 269.11

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Solution

The fourth proportional to 543.13, 814.45 and 269.11 is: 403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.13 : 814.45 = 269.11 : x
  2. Step 2: Convert to fraction form
    543.13/814.45 = 269.11/x
  3. Step 3: Cross multiply
    543.13x = 814.45 × 269.11
  4. Step 4: Simplify right side
    543.13x = 219,176.64
  5. Step 5: Solve for x
    x = 219,176.64/543.13
  6. Step 6: Final answer
    x = 403.54

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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.