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Finding the Fourth Proportional to 416.84, 625.55 and 170.24

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Solution

The fourth proportional to 416.84, 625.55 and 170.24 is: 255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.84 : 625.55 = 170.24 : x
  2. Step 2: Convert to fraction form
    416.84/625.55 = 170.24/x
  3. Step 3: Cross multiply
    416.84x = 625.55 × 170.24
  4. Step 4: Simplify right side
    416.84x = 106,489.65
  5. Step 5: Solve for x
    x = 106,489.65/416.84
  6. Step 6: Final answer
    x = 255.47

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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.