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Finding the Fourth Proportional to 409.32, 614.01 and 203.68

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Solution

The fourth proportional to 409.32, 614.01 and 203.68 is: 305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.32 : 614.01 = 203.68 : x
  2. Step 2: Convert to fraction form
    409.32/614.01 = 203.68/x
  3. Step 3: Cross multiply
    409.32x = 614.01 × 203.68
  4. Step 4: Simplify right side
    409.32x = 125,061.56
  5. Step 5: Solve for x
    x = 125,061.56/409.32
  6. Step 6: Final answer
    x = 305.53

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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.