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Finding the Fourth Proportional to 591.66, 816.87 and 405.09

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Solution

The fourth proportional to 591.66, 816.87 and 405.09 is: 559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.66 : 816.87 = 405.09 : x
  2. Step 2: Convert to fraction form
    591.66/816.87 = 405.09/x
  3. Step 3: Cross multiply
    591.66x = 816.87 × 405.09
  4. Step 4: Simplify right side
    591.66x = 330,905.87
  5. Step 5: Solve for x
    x = 330,905.87/591.66
  6. Step 6: Final answer
    x = 559.28

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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.