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Finding the Fourth Proportional to 614.09, 920.82 and 203.08

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Solution

The fourth proportional to 614.09, 920.82 and 203.08 is: 304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.09 : 920.82 = 203.08 : x
  2. Step 2: Convert to fraction form
    614.09/920.82 = 203.08/x
  3. Step 3: Cross multiply
    614.09x = 920.82 × 203.08
  4. Step 4: Simplify right side
    614.09x = 187,002.62
  5. Step 5: Solve for x
    x = 187,002.62/614.09
  6. Step 6: Final answer
    x = 304.52

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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.