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Finding the Fourth Proportional to 343.68, 473.98 and 212.64

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Solution

The fourth proportional to 343.68, 473.98 and 212.64 is: 293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.68 : 473.98 = 212.64 : x
  2. Step 2: Convert to fraction form
    343.68/473.98 = 212.64/x
  3. Step 3: Cross multiply
    343.68x = 473.98 × 212.64
  4. Step 4: Simplify right side
    343.68x = 100,787.11
  5. Step 5: Solve for x
    x = 100,787.11/343.68
  6. Step 6: Final answer
    x = 293.26

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