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Finding the Fourth Proportional to 320.98, 441.84 and 284.08

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Solution

The fourth proportional to 320.98, 441.84 and 284.08 is: 391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.98 : 441.84 = 284.08 : x
  2. Step 2: Convert to fraction form
    320.98/441.84 = 284.08/x
  3. Step 3: Cross multiply
    320.98x = 441.84 × 284.08
  4. Step 4: Simplify right side
    320.98x = 125,517.91
  5. Step 5: Solve for x
    x = 125,517.91/320.98
  6. Step 6: Final answer
    x = 391.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.