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Finding the Fourth Proportional to 590.39, 885.59 and 200.55

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Solution

The fourth proportional to 590.39, 885.59 and 200.55 is: 300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.39 : 885.59 = 200.55 : x
  2. Step 2: Convert to fraction form
    590.39/885.59 = 200.55/x
  3. Step 3: Cross multiply
    590.39x = 885.59 × 200.55
  4. Step 4: Simplify right side
    590.39x = 177,605.07
  5. Step 5: Solve for x
    x = 177,605.07/590.39
  6. Step 6: Final answer
    x = 300.83

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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.