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Finding the Fourth Proportional to 436.19, 601.83 and 296.06

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Solution

The fourth proportional to 436.19, 601.83 and 296.06 is: 408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.19 : 601.83 = 296.06 : x
  2. Step 2: Convert to fraction form
    436.19/601.83 = 296.06/x
  3. Step 3: Cross multiply
    436.19x = 601.83 × 296.06
  4. Step 4: Simplify right side
    436.19x = 178,174.78
  5. Step 5: Solve for x
    x = 178,174.78/436.19
  6. Step 6: Final answer
    x = 408.48

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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.