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Finding the Fourth Proportional to 543.58, 815.37 and 269.40

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Solution

The fourth proportional to 543.58, 815.37 and 269.40 is: 404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.58 : 815.37 = 269.40 : x
  2. Step 2: Convert to fraction form
    543.58/815.37 = 269.40/x
  3. Step 3: Cross multiply
    543.58x = 815.37 × 269.40
  4. Step 4: Simplify right side
    543.58x = 219,660.68
  5. Step 5: Solve for x
    x = 219,660.68/543.58
  6. Step 6: Final answer
    x = 404.10

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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.