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Finding the Fourth Proportional to 343.21, 473.70 and 232.88

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Solution

The fourth proportional to 343.21, 473.70 and 232.88 is: 321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.21 : 473.70 = 232.88 : x
  2. Step 2: Convert to fraction form
    343.21/473.70 = 232.88/x
  3. Step 3: Cross multiply
    343.21x = 473.70 × 232.88
  4. Step 4: Simplify right side
    343.21x = 110,312.45
  5. Step 5: Solve for x
    x = 110,312.45/343.21
  6. Step 6: Final answer
    x = 321.41

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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.