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Finding the Fourth Proportional to 366.26, 506.08 and 288.19

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Solution

The fourth proportional to 366.26, 506.08 and 288.19 is: 398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.26 : 506.08 = 288.19 : x
  2. Step 2: Convert to fraction form
    366.26/506.08 = 288.19/x
  3. Step 3: Cross multiply
    366.26x = 506.08 × 288.19
  4. Step 4: Simplify right side
    366.26x = 145,847.52
  5. Step 5: Solve for x
    x = 145,847.52/366.26
  6. Step 6: Final answer
    x = 398.21

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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.