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Finding the Fourth Proportional to 343.42, 474.01 and 212.35

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Solution

The fourth proportional to 343.42, 474.01 and 212.35 is: 293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.42 : 474.01 = 212.35 : x
  2. Step 2: Convert to fraction form
    343.42/474.01 = 212.35/x
  3. Step 3: Cross multiply
    343.42x = 474.01 × 212.35
  4. Step 4: Simplify right side
    343.42x = 100,656.02
  5. Step 5: Solve for x
    x = 100,656.02/343.42
  6. Step 6: Final answer
    x = 293.10

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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.