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Finding the Fourth Proportional to 343.66, 473.92 and 219.10

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Solution

The fourth proportional to 343.66, 473.92 and 219.10 is: 302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.66 : 473.92 = 219.10 : x
  2. Step 2: Convert to fraction form
    343.66/473.92 = 219.10/x
  3. Step 3: Cross multiply
    343.66x = 473.92 × 219.10
  4. Step 4: Simplify right side
    343.66x = 103,835.87
  5. Step 5: Solve for x
    x = 103,835.87/343.66
  6. Step 6: Final answer
    x = 302.15

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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.