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Finding the Fourth Proportional to 465.39, 698.18 and 311.31

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Solution

The fourth proportional to 465.39, 698.18 and 311.31 is: 467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.39 : 698.18 = 311.31 : x
  2. Step 2: Convert to fraction form
    465.39/698.18 = 311.31/x
  3. Step 3: Cross multiply
    465.39x = 698.18 × 311.31
  4. Step 4: Simplify right side
    465.39x = 217,348.86
  5. Step 5: Solve for x
    x = 217,348.86/465.39
  6. Step 6: Final answer
    x = 467.03

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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.