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Finding the Fourth Proportional to 343, 514.37 and 212.80

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Solution

The fourth proportional to 343, 514.37 and 212.80 is: 319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    343 : 514.37 = 212.80 : x
  2. Step 2: Convert to fraction form
    343/514.37 = 212.80/x
  3. Step 3: Cross multiply
    343x = 514.37 × 212.80
  4. Step 4: Simplify right side
    343x = 109,457.94
  5. Step 5: Solve for x
    x = 109,457.94/343
  6. Step 6: Final answer
    x = 319.12

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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.