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Finding the Fourth Proportional to 343.94, 472.89 and 306.24

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Solution

The fourth proportional to 343.94, 472.89 and 306.24 is: 421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.94 : 472.89 = 306.24 : x
  2. Step 2: Convert to fraction form
    343.94/472.89 = 306.24/x
  3. Step 3: Cross multiply
    343.94x = 472.89 × 306.24
  4. Step 4: Simplify right side
    343.94x = 144,816.30
  5. Step 5: Solve for x
    x = 144,816.30/343.94
  6. Step 6: Final answer
    x = 421.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.