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Finding the Fourth Proportional to 591.06, 885.68 and 225.65

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Solution

The fourth proportional to 591.06, 885.68 and 225.65 is: 338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.06 : 885.68 = 225.65 : x
  2. Step 2: Convert to fraction form
    591.06/885.68 = 225.65/x
  3. Step 3: Cross multiply
    591.06x = 885.68 × 225.65
  4. Step 4: Simplify right side
    591.06x = 199,853.69
  5. Step 5: Solve for x
    x = 199,853.69/591.06
  6. Step 6: Final answer
    x = 338.13

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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.