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Finding the Fourth Proportional to 523.14, 721.94 and 287.10

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Solution

The fourth proportional to 523.14, 721.94 and 287.10 is: 396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.14 : 721.94 = 287.10 : x
  2. Step 2: Convert to fraction form
    523.14/721.94 = 287.10/x
  3. Step 3: Cross multiply
    523.14x = 721.94 × 287.10
  4. Step 4: Simplify right side
    523.14x = 207,272.59
  5. Step 5: Solve for x
    x = 207,272.59/523.14
  6. Step 6: Final answer
    x = 396.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.