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Finding the Fourth Proportional to 416.08, 624.50 and 210.79

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Solution

The fourth proportional to 416.08, 624.50 and 210.79 is: 316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.08 : 624.50 = 210.79 : x
  2. Step 2: Convert to fraction form
    416.08/624.50 = 210.79/x
  3. Step 3: Cross multiply
    416.08x = 624.50 × 210.79
  4. Step 4: Simplify right side
    416.08x = 131,638.36
  5. Step 5: Solve for x
    x = 131,638.36/416.08
  6. Step 6: Final answer
    x = 316.38

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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.