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Finding the Fourth Proportional to 343.52, 514.80 and 206.72

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Solution

The fourth proportional to 343.52, 514.80 and 206.72 is: 309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.52 : 514.80 = 206.72 : x
  2. Step 2: Convert to fraction form
    343.52/514.80 = 206.72/x
  3. Step 3: Cross multiply
    343.52x = 514.80 × 206.72
  4. Step 4: Simplify right side
    343.52x = 106,419.46
  5. Step 5: Solve for x
    x = 106,419.46/343.52
  6. Step 6: Final answer
    x = 309.79

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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.