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Finding the Fourth Proportional to 578.78, 867.50 and 286.42

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Solution

The fourth proportional to 578.78, 867.50 and 286.42 is: 429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.78 : 867.50 = 286.42 : x
  2. Step 2: Convert to fraction form
    578.78/867.50 = 286.42/x
  3. Step 3: Cross multiply
    578.78x = 867.50 × 286.42
  4. Step 4: Simplify right side
    578.78x = 248,469.35
  5. Step 5: Solve for x
    x = 248,469.35/578.78
  6. Step 6: Final answer
    x = 429.30

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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.