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Finding the Fourth Proportional to 728.27, 1,091.49 and 362.40

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Solution

The fourth proportional to 728.27, 1,091.49 and 362.40 is: 543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.27 : 1,091.49 = 362.40 : x
  2. Step 2: Convert to fraction form
    728.27/1,091.49 = 362.40/x
  3. Step 3: Cross multiply
    728.27x = 1,091.49 × 362.40
  4. Step 4: Simplify right side
    728.27x = 395,555.98
  5. Step 5: Solve for x
    x = 395,555.98/728.27
  6. Step 6: Final answer
    x = 543.14

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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.