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Finding the Fourth Proportional to 436.24, 601.41 and 296.15

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Solution

The fourth proportional to 436.24, 601.41 and 296.15 is: 408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.24 : 601.41 = 296.15 : x
  2. Step 2: Convert to fraction form
    436.24/601.41 = 296.15/x
  3. Step 3: Cross multiply
    436.24x = 601.41 × 296.15
  4. Step 4: Simplify right side
    436.24x = 178,105.67
  5. Step 5: Solve for x
    x = 178,105.67/436.24
  6. Step 6: Final answer
    x = 408.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.