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Finding the Fourth Proportional to 588.69, 813.06 and 367.83

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Solution

The fourth proportional to 588.69, 813.06 and 367.83 is: 508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.69 : 813.06 = 367.83 : x
  2. Step 2: Convert to fraction form
    588.69/813.06 = 367.83/x
  3. Step 3: Cross multiply
    588.69x = 813.06 × 367.83
  4. Step 4: Simplify right side
    588.69x = 299,067.86
  5. Step 5: Solve for x
    x = 299,067.86/588.69
  6. Step 6: Final answer
    x = 508.02

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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.