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Finding the Fourth Proportional to 343.64, 473.99 and 212.42

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Solution

The fourth proportional to 343.64, 473.99 and 212.42 is: 292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.64 : 473.99 = 212.42 : x
  2. Step 2: Convert to fraction form
    343.64/473.99 = 212.42/x
  3. Step 3: Cross multiply
    343.64x = 473.99 × 212.42
  4. Step 4: Simplify right side
    343.64x = 100,681.52
  5. Step 5: Solve for x
    x = 100,681.52/343.64
  6. Step 6: Final answer
    x = 292.99

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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.