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Finding the Fourth Proportional to 614.38, 921.48 and 203.53

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Solution

The fourth proportional to 614.38, 921.48 and 203.53 is: 305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.38 : 921.48 = 203.53 : x
  2. Step 2: Convert to fraction form
    614.38/921.48 = 203.53/x
  3. Step 3: Cross multiply
    614.38x = 921.48 × 203.53
  4. Step 4: Simplify right side
    614.38x = 187,548.82
  5. Step 5: Solve for x
    x = 187,548.82/614.38
  6. Step 6: Final answer
    x = 305.27

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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.