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Finding the Fourth Proportional to 821.84, 1,232.96 and 302

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Solution

The fourth proportional to 821.84, 1,232.96 and 302 is: 453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.84 : 1,232.96 = 302 : x
  2. Step 2: Convert to fraction form
    821.84/1,232.96 = 302/x
  3. Step 3: Cross multiply
    821.84x = 1,232.96 × 302
  4. Step 4: Simplify right side
    821.84x = 372,353.92
  5. Step 5: Solve for x
    x = 372,353.92/821.84
  6. Step 6: Final answer
    x = 453.07

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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.