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Finding the Fourth Proportional to 821.39, 1,232.45 and 359.29

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Solution

The fourth proportional to 821.39, 1,232.45 and 359.29 is: 539.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.39 : 1,232.45 = 359.29 : x
  2. Step 2: Convert to fraction form
    821.39/1,232.45 = 359.29/x
  3. Step 3: Cross multiply
    821.39x = 1,232.45 × 359.29
  4. Step 4: Simplify right side
    821.39x = 442,799.00
  5. Step 5: Solve for x
    x = 442,799.00/821.39
  6. Step 6: Final answer
    x = 539.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.