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Finding the Fourth Proportional to 410.36, 614.97 and 236.77

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Solution

The fourth proportional to 410.36, 614.97 and 236.77 is: 354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.36 : 614.97 = 236.77 : x
  2. Step 2: Convert to fraction form
    410.36/614.97 = 236.77/x
  3. Step 3: Cross multiply
    410.36x = 614.97 × 236.77
  4. Step 4: Simplify right side
    410.36x = 145,606.45
  5. Step 5: Solve for x
    x = 145,606.45/410.36
  6. Step 6: Final answer
    x = 354.83

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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.