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Finding the Fourth Proportional to 523.00, 721.76 and 286.96

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Solution

The fourth proportional to 523.00, 721.76 and 286.96 is: 396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.00 : 721.76 = 286.96 : x
  2. Step 2: Convert to fraction form
    523.00/721.76 = 286.96/x
  3. Step 3: Cross multiply
    523.00x = 721.76 × 286.96
  4. Step 4: Simplify right side
    523.00x = 207,115.77
  5. Step 5: Solve for x
    x = 207,115.77/523.00
  6. Step 6: Final answer
    x = 396.01

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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.