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Finding the Fourth Proportional to 410.00, 614.79 and 163.22

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Solution

The fourth proportional to 410.00, 614.79 and 163.22 is: 244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.00 : 614.79 = 163.22 : x
  2. Step 2: Convert to fraction form
    410.00/614.79 = 163.22/x
  3. Step 3: Cross multiply
    410.00x = 614.79 × 163.22
  4. Step 4: Simplify right side
    410.00x = 100,342.95
  5. Step 5: Solve for x
    x = 100,342.95/410.00
  6. Step 6: Final answer
    x = 244.74

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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.