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Finding the Fourth Proportional to 343.36, 473.52 and 212.08

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Solution

The fourth proportional to 343.36, 473.52 and 212.08 is: 292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.36 : 473.52 = 212.08 : x
  2. Step 2: Convert to fraction form
    343.36/473.52 = 212.08/x
  3. Step 3: Cross multiply
    343.36x = 473.52 × 212.08
  4. Step 4: Simplify right side
    343.36x = 100,424.12
  5. Step 5: Solve for x
    x = 100,424.12/343.36
  6. Step 6: Final answer
    x = 292.47

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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.