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Finding the Fourth Proportional to 590.29, 885.23 and 225.18

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Solution

The fourth proportional to 590.29, 885.23 and 225.18 is: 337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.29 : 885.23 = 225.18 : x
  2. Step 2: Convert to fraction form
    590.29/885.23 = 225.18/x
  3. Step 3: Cross multiply
    590.29x = 885.23 × 225.18
  4. Step 4: Simplify right side
    590.29x = 199,336.09
  5. Step 5: Solve for x
    x = 199,336.09/590.29
  6. Step 6: Final answer
    x = 337.69

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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.