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Finding the Fourth Proportional to 590.06, 884.18 and 224.65

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Solution

The fourth proportional to 590.06, 884.18 and 224.65 is: 336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.06 : 884.18 = 224.65 : x
  2. Step 2: Convert to fraction form
    590.06/884.18 = 224.65/x
  3. Step 3: Cross multiply
    590.06x = 884.18 × 224.65
  4. Step 4: Simplify right side
    590.06x = 198,631.04
  5. Step 5: Solve for x
    x = 198,631.04/590.06
  6. Step 6: Final answer
    x = 336.63

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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.