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Finding the Fourth Proportional to 304.20, 420.14 and 205.79

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Solution

The fourth proportional to 304.20, 420.14 and 205.79 is: 284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.20 : 420.14 = 205.79 : x
  2. Step 2: Convert to fraction form
    304.20/420.14 = 205.79/x
  3. Step 3: Cross multiply
    304.20x = 420.14 × 205.79
  4. Step 4: Simplify right side
    304.20x = 86,457.48
  5. Step 5: Solve for x
    x = 86,457.48/304.20
  6. Step 6: Final answer
    x = 284.21

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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.