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Finding the Fourth Proportional to 960.24, 1,440.20 and 310.98

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Solution

The fourth proportional to 960.24, 1,440.20 and 310.98 is: 466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.24 : 1,440.20 = 310.98 : x
  2. Step 2: Convert to fraction form
    960.24/1,440.20 = 310.98/x
  3. Step 3: Cross multiply
    960.24x = 1,440.20 × 310.98
  4. Step 4: Simplify right side
    960.24x = 447,871.84
  5. Step 5: Solve for x
    x = 447,871.84/960.24
  6. Step 6: Final answer
    x = 466.42

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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.