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Finding the Fourth Proportional to 298.67, 412.47 and 205.65

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Solution

The fourth proportional to 298.67, 412.47 and 205.65 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.67 : 412.47 = 205.65 : x
  2. Step 2: Convert to fraction form
    298.67/412.47 = 205.65/x
  3. Step 3: Cross multiply
    298.67x = 412.47 × 205.65
  4. Step 4: Simplify right side
    298.67x = 84,826.00
  5. Step 5: Solve for x
    x = 84,826.00/298.67
  6. Step 6: Final answer
    x = 284.02

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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.