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Finding the Fourth Proportional to 961.44, 1,441.68 and 384

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Solution

The fourth proportional to 961.44, 1,441.68 and 384 is: 575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.44 : 1,441.68 = 384 : x
  2. Step 2: Convert to fraction form
    961.44/1,441.68 = 384/x
  3. Step 3: Cross multiply
    961.44x = 1,441.68 × 384
  4. Step 4: Simplify right side
    961.44x = 553,605.12
  5. Step 5: Solve for x
    x = 553,605.12/961.44
  6. Step 6: Final answer
    x = 575.81

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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.