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Finding the Fourth Proportional to 962.02, 1,443.26 and 312.75

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Solution

The fourth proportional to 962.02, 1,443.26 and 312.75 is: 469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.02 : 1,443.26 = 312.75 : x
  2. Step 2: Convert to fraction form
    962.02/1,443.26 = 312.75/x
  3. Step 3: Cross multiply
    962.02x = 1,443.26 × 312.75
  4. Step 4: Simplify right side
    962.02x = 451,379.57
  5. Step 5: Solve for x
    x = 451,379.57/962.02
  6. Step 6: Final answer
    x = 469.20

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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.