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Finding the Fourth Proportional to 961.32, 1,441.74 and 312.24

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Solution

The fourth proportional to 961.32, 1,441.74 and 312.24 is: 468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.32 : 1,441.74 = 312.24 : x
  2. Step 2: Convert to fraction form
    961.32/1,441.74 = 312.24/x
  3. Step 3: Cross multiply
    961.32x = 1,441.74 × 312.24
  4. Step 4: Simplify right side
    961.32x = 450,168.90
  5. Step 5: Solve for x
    x = 450,168.90/961.32
  6. Step 6: Final answer
    x = 468.28

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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.