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Finding the Fourth Proportional to 728.10, 1,091.49 and 294.96

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Solution

The fourth proportional to 728.10, 1,091.49 and 294.96 is: 442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.10 : 1,091.49 = 294.96 : x
  2. Step 2: Convert to fraction form
    728.10/1,091.49 = 294.96/x
  3. Step 3: Cross multiply
    728.10x = 1,091.49 × 294.96
  4. Step 4: Simplify right side
    728.10x = 321,945.89
  5. Step 5: Solve for x
    x = 321,945.89/728.10
  6. Step 6: Final answer
    x = 442.17

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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.