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Finding the Fourth Proportional to 343.34, 514.85 and 213.51

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Solution

The fourth proportional to 343.34, 514.85 and 213.51 is: 320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.34 : 514.85 = 213.51 : x
  2. Step 2: Convert to fraction form
    343.34/514.85 = 213.51/x
  3. Step 3: Cross multiply
    343.34x = 514.85 × 213.51
  4. Step 4: Simplify right side
    343.34x = 109,922.63
  5. Step 5: Solve for x
    x = 109,922.63/343.34
  6. Step 6: Final answer
    x = 320.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.