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Finding the Fourth Proportional to 343.69, 514.30 and 213.58

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Solution

The fourth proportional to 343.69, 514.30 and 213.58 is: 319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.69 : 514.30 = 213.58 : x
  2. Step 2: Convert to fraction form
    343.69/514.30 = 213.58/x
  3. Step 3: Cross multiply
    343.69x = 514.30 × 213.58
  4. Step 4: Simplify right side
    343.69x = 109,844.19
  5. Step 5: Solve for x
    x = 109,844.19/343.69
  6. Step 6: Final answer
    x = 319.60

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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.