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Finding the Fourth Proportional to 409.60, 614.13 and 193.24

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Solution

The fourth proportional to 409.60, 614.13 and 193.24 is: 289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.60 : 614.13 = 193.24 : x
  2. Step 2: Convert to fraction form
    409.60/614.13 = 193.24/x
  3. Step 3: Cross multiply
    409.60x = 614.13 × 193.24
  4. Step 4: Simplify right side
    409.60x = 118,674.48
  5. Step 5: Solve for x
    x = 118,674.48/409.60
  6. Step 6: Final answer
    x = 289.73

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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.