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Finding the Fourth Proportional to 543.91, 816.14 and 269.99

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Solution

The fourth proportional to 543.91, 816.14 and 269.99 is: 405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.91 : 816.14 = 269.99 : x
  2. Step 2: Convert to fraction form
    543.91/816.14 = 269.99/x
  3. Step 3: Cross multiply
    543.91x = 816.14 × 269.99
  4. Step 4: Simplify right side
    543.91x = 220,352.35
  5. Step 5: Solve for x
    x = 220,352.35/543.91
  6. Step 6: Final answer
    x = 405.13

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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.