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Finding the Fourth Proportional to 951.86, 1,427.96 and 293.72

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Solution

The fourth proportional to 951.86, 1,427.96 and 293.72 is: 440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.86 : 1,427.96 = 293.72 : x
  2. Step 2: Convert to fraction form
    951.86/1,427.96 = 293.72/x
  3. Step 3: Cross multiply
    951.86x = 1,427.96 × 293.72
  4. Step 4: Simplify right side
    951.86x = 419,411.80
  5. Step 5: Solve for x
    x = 419,411.80/951.86
  6. Step 6: Final answer
    x = 440.63

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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.