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Finding the Fourth Proportional to 484.34, 726.48 and 278.78

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Solution

The fourth proportional to 484.34, 726.48 and 278.78 is: 418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.34 : 726.48 = 278.78 : x
  2. Step 2: Convert to fraction form
    484.34/726.48 = 278.78/x
  3. Step 3: Cross multiply
    484.34x = 726.48 × 278.78
  4. Step 4: Simplify right side
    484.34x = 202,524.46
  5. Step 5: Solve for x
    x = 202,524.46/484.34
  6. Step 6: Final answer
    x = 418.15

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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.