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Finding the Fourth Proportional to 346.06, 517.79 and 206.72

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Solution

The fourth proportional to 346.06, 517.79 and 206.72 is: 309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.06 : 517.79 = 206.72 : x
  2. Step 2: Convert to fraction form
    346.06/517.79 = 206.72/x
  3. Step 3: Cross multiply
    346.06x = 517.79 × 206.72
  4. Step 4: Simplify right side
    346.06x = 107,037.55
  5. Step 5: Solve for x
    x = 107,037.55/346.06
  6. Step 6: Final answer
    x = 309.30

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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.