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Finding the Fourth Proportional to 345.14, 474.31 and 329.08

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Solution

The fourth proportional to 345.14, 474.31 and 329.08 is: 452.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.14 : 474.31 = 329.08 : x
  2. Step 2: Convert to fraction form
    345.14/474.31 = 329.08/x
  3. Step 3: Cross multiply
    345.14x = 474.31 × 329.08
  4. Step 4: Simplify right side
    345.14x = 156,082.20
  5. Step 5: Solve for x
    x = 156,082.20/345.14
  6. Step 6: Final answer
    x = 452.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.