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Finding the Fourth Proportional to 523.07, 721.69 and 301.98

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Solution

The fourth proportional to 523.07, 721.69 and 301.98 is: 416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.07 : 721.69 = 301.98 : x
  2. Step 2: Convert to fraction form
    523.07/721.69 = 301.98/x
  3. Step 3: Cross multiply
    523.07x = 721.69 × 301.98
  4. Step 4: Simplify right side
    523.07x = 217,937.90
  5. Step 5: Solve for x
    x = 217,937.90/523.07
  6. Step 6: Final answer
    x = 416.65

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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.