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Finding the Fourth Proportional to 342.06, 512.82 and 329.10

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Solution

The fourth proportional to 342.06, 512.82 and 329.10 is: 493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.06 : 512.82 = 329.10 : x
  2. Step 2: Convert to fraction form
    342.06/512.82 = 329.10/x
  3. Step 3: Cross multiply
    342.06x = 512.82 × 329.10
  4. Step 4: Simplify right side
    342.06x = 168,769.06
  5. Step 5: Solve for x
    x = 168,769.06/342.06
  6. Step 6: Final answer
    x = 493.39

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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.