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Finding the Fourth Proportional to 591.96, 816.65 and 355.83

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Solution

The fourth proportional to 591.96, 816.65 and 355.83 is: 490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.96 : 816.65 = 355.83 : x
  2. Step 2: Convert to fraction form
    591.96/816.65 = 355.83/x
  3. Step 3: Cross multiply
    591.96x = 816.65 × 355.83
  4. Step 4: Simplify right side
    591.96x = 290,589.46
  5. Step 5: Solve for x
    x = 290,589.46/591.96
  6. Step 6: Final answer
    x = 490.89

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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.