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Finding the Fourth Proportional to 522.24, 720.68 and 286.16

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Solution

The fourth proportional to 522.24, 720.68 and 286.16 is: 394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.24 : 720.68 = 286.16 : x
  2. Step 2: Convert to fraction form
    522.24/720.68 = 286.16/x
  3. Step 3: Cross multiply
    522.24x = 720.68 × 286.16
  4. Step 4: Simplify right side
    522.24x = 206,229.79
  5. Step 5: Solve for x
    x = 206,229.79/522.24
  6. Step 6: Final answer
    x = 394.89

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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.