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Finding the Fourth Proportional to 543.31, 814.83 and 269.14

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Solution

The fourth proportional to 543.31, 814.83 and 269.14 is: 403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.31 : 814.83 = 269.14 : x
  2. Step 2: Convert to fraction form
    543.31/814.83 = 269.14/x
  3. Step 3: Cross multiply
    543.31x = 814.83 × 269.14
  4. Step 4: Simplify right side
    543.31x = 219,303.35
  5. Step 5: Solve for x
    x = 219,303.35/543.31
  6. Step 6: Final answer
    x = 403.64

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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.