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Finding the Fourth Proportional to 522.36, 720.85 and 286.31

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Solution

The fourth proportional to 522.36, 720.85 and 286.31 is: 395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.36 : 720.85 = 286.31 : x
  2. Step 2: Convert to fraction form
    522.36/720.85 = 286.31/x
  3. Step 3: Cross multiply
    522.36x = 720.85 × 286.31
  4. Step 4: Simplify right side
    522.36x = 206,383.32
  5. Step 5: Solve for x
    x = 206,383.32/522.36
  6. Step 6: Final answer
    x = 395.10

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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.