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Finding the Fourth Proportional to 369.56, 553.37 and 296.09

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Solution

The fourth proportional to 369.56, 553.37 and 296.09 is: 443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.56 : 553.37 = 296.09 : x
  2. Step 2: Convert to fraction form
    369.56/553.37 = 296.09/x
  3. Step 3: Cross multiply
    369.56x = 553.37 × 296.09
  4. Step 4: Simplify right side
    369.56x = 163,843.08
  5. Step 5: Solve for x
    x = 163,843.08/369.56
  6. Step 6: Final answer
    x = 443.35

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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.