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Finding the Fourth Proportional to 523.08, 721.86 and 299

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Solution

The fourth proportional to 523.08, 721.86 and 299 is: 412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.08 : 721.86 = 299 : x
  2. Step 2: Convert to fraction form
    523.08/721.86 = 299/x
  3. Step 3: Cross multiply
    523.08x = 721.86 × 299
  4. Step 4: Simplify right side
    523.08x = 215,836.14
  5. Step 5: Solve for x
    x = 215,836.14/523.08
  6. Step 6: Final answer
    x = 412.63

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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.