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Finding the Fourth Proportional to 418.82, 578.15 and 284.26

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Solution

The fourth proportional to 418.82, 578.15 and 284.26 is: 392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.82 : 578.15 = 284.26 : x
  2. Step 2: Convert to fraction form
    418.82/578.15 = 284.26/x
  3. Step 3: Cross multiply
    418.82x = 578.15 × 284.26
  4. Step 4: Simplify right side
    418.82x = 164,344.92
  5. Step 5: Solve for x
    x = 164,344.92/418.82
  6. Step 6: Final answer
    x = 392.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.