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Finding the Fourth Proportional to 412.09, 616.60 and 247.65

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Solution

The fourth proportional to 412.09, 616.60 and 247.65 is: 370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.09 : 616.60 = 247.65 : x
  2. Step 2: Convert to fraction form
    412.09/616.60 = 247.65/x
  3. Step 3: Cross multiply
    412.09x = 616.60 × 247.65
  4. Step 4: Simplify right side
    412.09x = 152,700.99
  5. Step 5: Solve for x
    x = 152,700.99/412.09
  6. Step 6: Final answer
    x = 370.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.