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Finding the Fourth Proportional to 416.65, 624.75 and 208.19

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Solution

The fourth proportional to 416.65, 624.75 and 208.19 is: 312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.65 : 624.75 = 208.19 : x
  2. Step 2: Convert to fraction form
    416.65/624.75 = 208.19/x
  3. Step 3: Cross multiply
    416.65x = 624.75 × 208.19
  4. Step 4: Simplify right side
    416.65x = 130,065.73
  5. Step 5: Solve for x
    x = 130,065.73/416.65
  6. Step 6: Final answer
    x = 312.17

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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.