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Finding the Fourth Proportional to 591.25, 886.57 and 344.53

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Solution

The fourth proportional to 591.25, 886.57 and 344.53 is: 516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.25 : 886.57 = 344.53 : x
  2. Step 2: Convert to fraction form
    591.25/886.57 = 344.53/x
  3. Step 3: Cross multiply
    591.25x = 886.57 × 344.53
  4. Step 4: Simplify right side
    591.25x = 305,449.96
  5. Step 5: Solve for x
    x = 305,449.96/591.25
  6. Step 6: Final answer
    x = 516.62

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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.