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Finding the Fourth Proportional to 466.20, 699.16 and 293.92

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Solution

The fourth proportional to 466.20, 699.16 and 293.92 is: 440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.20 : 699.16 = 293.92 : x
  2. Step 2: Convert to fraction form
    466.20/699.16 = 293.92/x
  3. Step 3: Cross multiply
    466.20x = 699.16 × 293.92
  4. Step 4: Simplify right side
    466.20x = 205,497.11
  5. Step 5: Solve for x
    x = 205,497.11/466.20
  6. Step 6: Final answer
    x = 440.79

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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.