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Finding the Fourth Proportional to 591.97, 817.01 and 359.10

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Solution

The fourth proportional to 591.97, 817.01 and 359.10 is: 495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.97 : 817.01 = 359.10 : x
  2. Step 2: Convert to fraction form
    591.97/817.01 = 359.10/x
  3. Step 3: Cross multiply
    591.97x = 817.01 × 359.10
  4. Step 4: Simplify right side
    591.97x = 293,388.29
  5. Step 5: Solve for x
    x = 293,388.29/591.97
  6. Step 6: Final answer
    x = 495.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.