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Finding the Fourth Proportional to 467.82, 646.17 and 343.29

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Solution

The fourth proportional to 467.82, 646.17 and 343.29 is: 474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.82 : 646.17 = 343.29 : x
  2. Step 2: Convert to fraction form
    467.82/646.17 = 343.29/x
  3. Step 3: Cross multiply
    467.82x = 646.17 × 343.29
  4. Step 4: Simplify right side
    467.82x = 221,823.70
  5. Step 5: Solve for x
    x = 221,823.70/467.82
  6. Step 6: Final answer
    x = 474.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.