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Finding the Fourth Proportional to 821.17, 1,230.69 and 333.65

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Solution

The fourth proportional to 821.17, 1,230.69 and 333.65 is: 500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.17 : 1,230.69 = 333.65 : x
  2. Step 2: Convert to fraction form
    821.17/1,230.69 = 333.65/x
  3. Step 3: Cross multiply
    821.17x = 1,230.69 × 333.65
  4. Step 4: Simplify right side
    821.17x = 410,619.72
  5. Step 5: Solve for x
    x = 410,619.72/821.17
  6. Step 6: Final answer
    x = 500.04

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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.