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Finding the Fourth Proportional to 721.35, 1,081.38 and 288.21

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Solution

The fourth proportional to 721.35, 1,081.38 and 288.21 is: 432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.35 : 1,081.38 = 288.21 : x
  2. Step 2: Convert to fraction form
    721.35/1,081.38 = 288.21/x
  3. Step 3: Cross multiply
    721.35x = 1,081.38 × 288.21
  4. Step 4: Simplify right side
    721.35x = 311,664.53
  5. Step 5: Solve for x
    x = 311,664.53/721.35
  6. Step 6: Final answer
    x = 432.06

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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.