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Finding the Fourth Proportional to 416.78, 624.20 and 208.16

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Solution

The fourth proportional to 416.78, 624.20 and 208.16 is: 311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.78 : 624.20 = 208.16 : x
  2. Step 2: Convert to fraction form
    416.78/624.20 = 208.16/x
  3. Step 3: Cross multiply
    416.78x = 624.20 × 208.16
  4. Step 4: Simplify right side
    416.78x = 129,929.31
  5. Step 5: Solve for x
    x = 129,929.31/416.78
  6. Step 6: Final answer
    x = 311.75

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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.