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Finding the Fourth Proportional to 522.59, 721.16 and 286.53

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Solution

The fourth proportional to 522.59, 721.16 and 286.53 is: 395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.59 : 721.16 = 286.53 : x
  2. Step 2: Convert to fraction form
    522.59/721.16 = 286.53/x
  3. Step 3: Cross multiply
    522.59x = 721.16 × 286.53
  4. Step 4: Simplify right side
    522.59x = 206,636.58
  5. Step 5: Solve for x
    x = 206,636.58/522.59
  6. Step 6: Final answer
    x = 395.41

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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.