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Finding the Fourth Proportional to 412.24, 616.08 and 369.41

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Solution

The fourth proportional to 412.24, 616.08 and 369.41 is: 552.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.24 : 616.08 = 369.41 : x
  2. Step 2: Convert to fraction form
    412.24/616.08 = 369.41/x
  3. Step 3: Cross multiply
    412.24x = 616.08 × 369.41
  4. Step 4: Simplify right side
    412.24x = 227,586.11
  5. Step 5: Solve for x
    x = 227,586.11/412.24
  6. Step 6: Final answer
    x = 552.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.