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Finding the Fourth Proportional to 346.20, 477.78 and 206.30

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Solution

The fourth proportional to 346.20, 477.78 and 206.30 is: 284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.20 : 477.78 = 206.30 : x
  2. Step 2: Convert to fraction form
    346.20/477.78 = 206.30/x
  3. Step 3: Cross multiply
    346.20x = 477.78 × 206.30
  4. Step 4: Simplify right side
    346.20x = 98,566.01
  5. Step 5: Solve for x
    x = 98,566.01/346.20
  6. Step 6: Final answer
    x = 284.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.