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Finding the Fourth Proportional to 591.18, 816.06 and 367.21

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Solution

The fourth proportional to 591.18, 816.06 and 367.21 is: 506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.18 : 816.06 = 367.21 : x
  2. Step 2: Convert to fraction form
    591.18/816.06 = 367.21/x
  3. Step 3: Cross multiply
    591.18x = 816.06 × 367.21
  4. Step 4: Simplify right side
    591.18x = 299,665.39
  5. Step 5: Solve for x
    x = 299,665.39/591.18
  6. Step 6: Final answer
    x = 506.89

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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.