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Finding the Fourth Proportional to 543.90, 815.49 and 280.52

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Solution

The fourth proportional to 543.90, 815.49 and 280.52 is: 420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.90 : 815.49 = 280.52 : x
  2. Step 2: Convert to fraction form
    543.90/815.49 = 280.52/x
  3. Step 3: Cross multiply
    543.90x = 815.49 × 280.52
  4. Step 4: Simplify right side
    543.90x = 228,757.24
  5. Step 5: Solve for x
    x = 228,757.24/543.90
  6. Step 6: Final answer
    x = 420.59

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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.