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Finding the Fourth Proportional to 591.09, 815.83 and 355.05

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Solution

The fourth proportional to 591.09, 815.83 and 355.05 is: 490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.09 : 815.83 = 355.05 : x
  2. Step 2: Convert to fraction form
    591.09/815.83 = 355.05/x
  3. Step 3: Cross multiply
    591.09x = 815.83 × 355.05
  4. Step 4: Simplify right side
    591.09x = 289,661.91
  5. Step 5: Solve for x
    x = 289,661.91/591.09
  6. Step 6: Final answer
    x = 490.04

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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.