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Finding the Fourth Proportional to 436.14, 601.66 and 296.27

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Solution

The fourth proportional to 436.14, 601.66 and 296.27 is: 408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.14 : 601.66 = 296.27 : x
  2. Step 2: Convert to fraction form
    436.14/601.66 = 296.27/x
  3. Step 3: Cross multiply
    436.14x = 601.66 × 296.27
  4. Step 4: Simplify right side
    436.14x = 178,253.81
  5. Step 5: Solve for x
    x = 178,253.81/436.14
  6. Step 6: Final answer
    x = 408.71

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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.