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Finding the Fourth Proportional to 578.49, 867 and 416.49

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Solution

The fourth proportional to 578.49, 867 and 416.49 is: 624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.49 : 867 = 416.49 : x
  2. Step 2: Convert to fraction form
    578.49/867 = 416.49/x
  3. Step 3: Cross multiply
    578.49x = 867 × 416.49
  4. Step 4: Simplify right side
    578.49x = 361,096.83
  5. Step 5: Solve for x
    x = 361,096.83/578.49
  6. Step 6: Final answer
    x = 624.21

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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.