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Finding the Fourth Proportional to 346.80, 478.53 and 206.97

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Solution

The fourth proportional to 346.80, 478.53 and 206.97 is: 285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.80 : 478.53 = 206.97 : x
  2. Step 2: Convert to fraction form
    346.80/478.53 = 206.97/x
  3. Step 3: Cross multiply
    346.80x = 478.53 × 206.97
  4. Step 4: Simplify right side
    346.80x = 99,041.35
  5. Step 5: Solve for x
    x = 99,041.35/346.80
  6. Step 6: Final answer
    x = 285.59

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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.