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Finding the Fourth Proportional to 407.87, 611.84 and 130.27

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Solution

The fourth proportional to 407.87, 611.84 and 130.27 is: 195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.87 : 611.84 = 130.27 : x
  2. Step 2: Convert to fraction form
    407.87/611.84 = 130.27/x
  3. Step 3: Cross multiply
    407.87x = 611.84 × 130.27
  4. Step 4: Simplify right side
    407.87x = 79,702.28
  5. Step 5: Solve for x
    x = 79,702.28/407.87
  6. Step 6: Final answer
    x = 195.41

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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.