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Finding the Fourth Proportional to 356.62, 537.41 and 356.62

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Solution

The fourth proportional to 356.62, 537.41 and 356.62 is: 537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.62 : 537.41 = 356.62 : x
  2. Step 2: Convert to fraction form
    356.62/537.41 = 356.62/x
  3. Step 3: Cross multiply
    356.62x = 537.41 × 356.62
  4. Step 4: Simplify right side
    356.62x = 191,651.15
  5. Step 5: Solve for x
    x = 191,651.15/356.62
  6. Step 6: Final answer
    x = 537.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.