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Finding the Fourth Proportional to 426.57, 585.71 and 363.66

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Solution

The fourth proportional to 426.57, 585.71 and 363.66 is: 499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.57 : 585.71 = 363.66 : x
  2. Step 2: Convert to fraction form
    426.57/585.71 = 363.66/x
  3. Step 3: Cross multiply
    426.57x = 585.71 × 363.66
  4. Step 4: Simplify right side
    426.57x = 212,997.48
  5. Step 5: Solve for x
    x = 212,997.48/426.57
  6. Step 6: Final answer
    x = 499.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.