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Finding the Fourth Proportional to 590.21, 885.41 and 200.25

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Solution

The fourth proportional to 590.21, 885.41 and 200.25 is: 300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.21 : 885.41 = 200.25 : x
  2. Step 2: Convert to fraction form
    590.21/885.41 = 200.25/x
  3. Step 3: Cross multiply
    590.21x = 885.41 × 200.25
  4. Step 4: Simplify right side
    590.21x = 177,302.35
  5. Step 5: Solve for x
    x = 177,302.35/590.21
  6. Step 6: Final answer
    x = 300.41

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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.