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Finding the Fourth Proportional to 729.84, 1,095.24 and 344.88

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Solution

The fourth proportional to 729.84, 1,095.24 and 344.88 is: 517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.84 : 1,095.24 = 344.88 : x
  2. Step 2: Convert to fraction form
    729.84/1,095.24 = 344.88/x
  3. Step 3: Cross multiply
    729.84x = 1,095.24 × 344.88
  4. Step 4: Simplify right side
    729.84x = 377,726.37
  5. Step 5: Solve for x
    x = 377,726.37/729.84
  6. Step 6: Final answer
    x = 517.55

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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.