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Finding the Fourth Proportional to 522.74, 721.38 and 286.70

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Solution

The fourth proportional to 522.74, 721.38 and 286.70 is: 395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.74 : 721.38 = 286.70 : x
  2. Step 2: Convert to fraction form
    522.74/721.38 = 286.70/x
  3. Step 3: Cross multiply
    522.74x = 721.38 × 286.70
  4. Step 4: Simplify right side
    522.74x = 206,816.04
  5. Step 5: Solve for x
    x = 206,816.04/522.74
  6. Step 6: Final answer
    x = 395.64

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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.