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Finding the Fourth Proportional to 343.37, 474.09 and 219.24

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Solution

The fourth proportional to 343.37, 474.09 and 219.24 is: 302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.37 : 474.09 = 219.24 : x
  2. Step 2: Convert to fraction form
    343.37/474.09 = 219.24/x
  3. Step 3: Cross multiply
    343.37x = 474.09 × 219.24
  4. Step 4: Simplify right side
    343.37x = 103,938.67
  5. Step 5: Solve for x
    x = 103,938.67/343.37
  6. Step 6: Final answer
    x = 302.70

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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.