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Finding the Fourth Proportional to 951.93, 1,428.09 and 293.85

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Solution

The fourth proportional to 951.93, 1,428.09 and 293.85 is: 440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.93 : 1,428.09 = 293.85 : x
  2. Step 2: Convert to fraction form
    951.93/1,428.09 = 293.85/x
  3. Step 3: Cross multiply
    951.93x = 1,428.09 × 293.85
  4. Step 4: Simplify right side
    951.93x = 419,644.25
  5. Step 5: Solve for x
    x = 419,644.25/951.93
  6. Step 6: Final answer
    x = 440.84

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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.