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Finding the Fourth Proportional to 821.88, 1,233.30 and 309.24

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Solution

The fourth proportional to 821.88, 1,233.30 and 309.24 is: 464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.88 : 1,233.30 = 309.24 : x
  2. Step 2: Convert to fraction form
    821.88/1,233.30 = 309.24/x
  3. Step 3: Cross multiply
    821.88x = 1,233.30 × 309.24
  4. Step 4: Simplify right side
    821.88x = 381,385.69
  5. Step 5: Solve for x
    x = 381,385.69/821.88
  6. Step 6: Final answer
    x = 464.04

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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.