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Finding the Fourth Proportional to 408.53, 611.86 and 245.87

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Solution

The fourth proportional to 408.53, 611.86 and 245.87 is: 368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.53 : 611.86 = 245.87 : x
  2. Step 2: Convert to fraction form
    408.53/611.86 = 245.87/x
  3. Step 3: Cross multiply
    408.53x = 611.86 × 245.87
  4. Step 4: Simplify right side
    408.53x = 150,438.02
  5. Step 5: Solve for x
    x = 150,438.02/408.53
  6. Step 6: Final answer
    x = 368.24

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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.