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Finding the Fourth Proportional to 590.09, 884.61 and 225.14

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Solution

The fourth proportional to 590.09, 884.61 and 225.14 is: 337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.09 : 884.61 = 225.14 : x
  2. Step 2: Convert to fraction form
    590.09/884.61 = 225.14/x
  3. Step 3: Cross multiply
    590.09x = 884.61 × 225.14
  4. Step 4: Simplify right side
    590.09x = 199,156.67
  5. Step 5: Solve for x
    x = 199,156.67/590.09
  6. Step 6: Final answer
    x = 337.51

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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.