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Finding the Fourth Proportional to 523.83, 723.09 and 358.44

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Solution

The fourth proportional to 523.83, 723.09 and 358.44 is: 494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.83 : 723.09 = 358.44 : x
  2. Step 2: Convert to fraction form
    523.83/723.09 = 358.44/x
  3. Step 3: Cross multiply
    523.83x = 723.09 × 358.44
  4. Step 4: Simplify right side
    523.83x = 259,184.38
  5. Step 5: Solve for x
    x = 259,184.38/523.83
  6. Step 6: Final answer
    x = 494.79

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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.