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Finding the Fourth Proportional to 591.25, 886.65 and 225.99

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Solution

The fourth proportional to 591.25, 886.65 and 225.99 is: 338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.25 : 886.65 = 225.99 : x
  2. Step 2: Convert to fraction form
    591.25/886.65 = 225.99/x
  3. Step 3: Cross multiply
    591.25x = 886.65 × 225.99
  4. Step 4: Simplify right side
    591.25x = 200,373.19
  5. Step 5: Solve for x
    x = 200,373.19/591.25
  6. Step 6: Final answer
    x = 338.90

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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.