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Finding the Fourth Proportional to 591.82, 817.08 and 370.96

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Solution

The fourth proportional to 591.82, 817.08 and 370.96 is: 512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.82 : 817.08 = 370.96 : x
  2. Step 2: Convert to fraction form
    591.82/817.08 = 370.96/x
  3. Step 3: Cross multiply
    591.82x = 817.08 × 370.96
  4. Step 4: Simplify right side
    591.82x = 303,104.00
  5. Step 5: Solve for x
    x = 303,104.00/591.82
  6. Step 6: Final answer
    x = 512.16

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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.