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Finding the Fourth Proportional to 416.34, 578.52 and 411.84

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Solution

The fourth proportional to 416.34, 578.52 and 411.84 is: 572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.34 : 578.52 = 411.84 : x
  2. Step 2: Convert to fraction form
    416.34/578.52 = 411.84/x
  3. Step 3: Cross multiply
    416.34x = 578.52 × 411.84
  4. Step 4: Simplify right side
    416.34x = 238,257.68
  5. Step 5: Solve for x
    x = 238,257.68/416.34
  6. Step 6: Final answer
    x = 572.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.