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Finding the Fourth Proportional to 409.98, 614.46 and 175.62

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Solution

The fourth proportional to 409.98, 614.46 and 175.62 is: 263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.98 : 614.46 = 175.62 : x
  2. Step 2: Convert to fraction form
    409.98/614.46 = 175.62/x
  3. Step 3: Cross multiply
    409.98x = 614.46 × 175.62
  4. Step 4: Simplify right side
    409.98x = 107,911.47
  5. Step 5: Solve for x
    x = 107,911.47/409.98
  6. Step 6: Final answer
    x = 263.21

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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.