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Finding the Fourth Proportional to 304.66, 420.49 and 206.75

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Solution

The fourth proportional to 304.66, 420.49 and 206.75 is: 285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.66 : 420.49 = 206.75 : x
  2. Step 2: Convert to fraction form
    304.66/420.49 = 206.75/x
  3. Step 3: Cross multiply
    304.66x = 420.49 × 206.75
  4. Step 4: Simplify right side
    304.66x = 86,937.62
  5. Step 5: Solve for x
    x = 86,937.62/304.66
  6. Step 6: Final answer
    x = 285.36

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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.