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Finding the Fourth Proportional to 304.50, 420.24 and 206.52

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Solution

The fourth proportional to 304.50, 420.24 and 206.52 is: 285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.50 : 420.24 = 206.52 : x
  2. Step 2: Convert to fraction form
    304.50/420.24 = 206.52/x
  3. Step 3: Cross multiply
    304.50x = 420.24 × 206.52
  4. Step 4: Simplify right side
    304.50x = 86,787.96
  5. Step 5: Solve for x
    x = 86,787.96/304.50
  6. Step 6: Final answer
    x = 285.02

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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.