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Finding the Fourth Proportional to 467.02, 699.72 and 329.42

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Solution

The fourth proportional to 467.02, 699.72 and 329.42 is: 493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.02 : 699.72 = 329.42 : x
  2. Step 2: Convert to fraction form
    467.02/699.72 = 329.42/x
  3. Step 3: Cross multiply
    467.02x = 699.72 × 329.42
  4. Step 4: Simplify right side
    467.02x = 230,501.76
  5. Step 5: Solve for x
    x = 230,501.76/467.02
  6. Step 6: Final answer
    x = 493.56

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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.