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Finding the Fourth Proportional to 543.60, 815.44 and 269.76

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Solution

The fourth proportional to 543.60, 815.44 and 269.76 is: 404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.60 : 815.44 = 269.76 : x
  2. Step 2: Convert to fraction form
    543.60/815.44 = 269.76/x
  3. Step 3: Cross multiply
    543.60x = 815.44 × 269.76
  4. Step 4: Simplify right side
    543.60x = 219,973.09
  5. Step 5: Solve for x
    x = 219,973.09/543.60
  6. Step 6: Final answer
    x = 404.66

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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.