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Finding the Fourth Proportional to 591.96, 816.91 and 382.14

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Solution

The fourth proportional to 591.96, 816.91 and 382.14 is: 527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.96 : 816.91 = 382.14 : x
  2. Step 2: Convert to fraction form
    591.96/816.91 = 382.14/x
  3. Step 3: Cross multiply
    591.96x = 816.91 × 382.14
  4. Step 4: Simplify right side
    591.96x = 312,176.40
  5. Step 5: Solve for x
    x = 312,176.40/591.96
  6. Step 6: Final answer
    x = 527.36

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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.