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Finding the Fourth Proportional to 467.12, 698.24 and 329.24

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Solution

The fourth proportional to 467.12, 698.24 and 329.24 is: 492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.12 : 698.24 = 329.24 : x
  2. Step 2: Convert to fraction form
    467.12/698.24 = 329.24/x
  3. Step 3: Cross multiply
    467.12x = 698.24 × 329.24
  4. Step 4: Simplify right side
    467.12x = 229,888.54
  5. Step 5: Solve for x
    x = 229,888.54/467.12
  6. Step 6: Final answer
    x = 492.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.