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Finding the Fourth Proportional to 366.08, 505.28 and 296.96

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Solution

The fourth proportional to 366.08, 505.28 and 296.96 is: 409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.08 : 505.28 = 296.96 : x
  2. Step 2: Convert to fraction form
    366.08/505.28 = 296.96/x
  3. Step 3: Cross multiply
    366.08x = 505.28 × 296.96
  4. Step 4: Simplify right side
    366.08x = 150,047.95
  5. Step 5: Solve for x
    x = 150,047.95/366.08
  6. Step 6: Final answer
    x = 409.88

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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.