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Finding the Fourth Proportional to 591.14, 886.31 and 331.16

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Solution

The fourth proportional to 591.14, 886.31 and 331.16 is: 496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.14 : 886.31 = 331.16 : x
  2. Step 2: Convert to fraction form
    591.14/886.31 = 331.16/x
  3. Step 3: Cross multiply
    591.14x = 886.31 × 331.16
  4. Step 4: Simplify right side
    591.14x = 293,510.42
  5. Step 5: Solve for x
    x = 293,510.42/591.14
  6. Step 6: Final answer
    x = 496.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.