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Finding the Fourth Proportional to 591.37, 816.12 and 367.36

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Solution

The fourth proportional to 591.37, 816.12 and 367.36 is: 506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.37 : 816.12 = 367.36 : x
  2. Step 2: Convert to fraction form
    591.37/816.12 = 367.36/x
  3. Step 3: Cross multiply
    591.37x = 816.12 × 367.36
  4. Step 4: Simplify right side
    591.37x = 299,809.84
  5. Step 5: Solve for x
    x = 299,809.84/591.37
  6. Step 6: Final answer
    x = 506.98

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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.