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Finding the Fourth Proportional to 547.96, 819.76 and 460.48

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Solution

The fourth proportional to 547.96, 819.76 and 460.48 is: 688.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.96 : 819.76 = 460.48 : x
  2. Step 2: Convert to fraction form
    547.96/819.76 = 460.48/x
  3. Step 3: Cross multiply
    547.96x = 819.76 × 460.48
  4. Step 4: Simplify right side
    547.96x = 377,483.08
  5. Step 5: Solve for x
    x = 377,483.08/547.96
  6. Step 6: Final answer
    x = 688.89

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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.