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Finding the Fourth Proportional to 467.24, 699.71 and 223.17

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Solution

The fourth proportional to 467.24, 699.71 and 223.17 is: 334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.24 : 699.71 = 223.17 : x
  2. Step 2: Convert to fraction form
    467.24/699.71 = 223.17/x
  3. Step 3: Cross multiply
    467.24x = 699.71 × 223.17
  4. Step 4: Simplify right side
    467.24x = 156,154.48
  5. Step 5: Solve for x
    x = 156,154.48/467.24
  6. Step 6: Final answer
    x = 334.21

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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.