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Finding the Fourth Proportional to 412.84, 616.22 and 364.78

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Solution

The fourth proportional to 412.84, 616.22 and 364.78 is: 544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.84 : 616.22 = 364.78 : x
  2. Step 2: Convert to fraction form
    412.84/616.22 = 364.78/x
  3. Step 3: Cross multiply
    412.84x = 616.22 × 364.78
  4. Step 4: Simplify right side
    412.84x = 224,784.73
  5. Step 5: Solve for x
    x = 224,784.73/412.84
  6. Step 6: Final answer
    x = 544.48

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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.