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Finding the Fourth Proportional to 343.31, 473.71 and 219.07

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Solution

The fourth proportional to 343.31, 473.71 and 219.07 is: 302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.31 : 473.71 = 219.07 : x
  2. Step 2: Convert to fraction form
    343.31/473.71 = 219.07/x
  3. Step 3: Cross multiply
    343.31x = 473.71 × 219.07
  4. Step 4: Simplify right side
    343.31x = 103,773.92
  5. Step 5: Solve for x
    x = 103,773.92/343.31
  6. Step 6: Final answer
    x = 302.28

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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.