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Finding the Fourth Proportional to 407.99, 611.76 and 134.04

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Solution

The fourth proportional to 407.99, 611.76 and 134.04 is: 200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.99 : 611.76 = 134.04 : x
  2. Step 2: Convert to fraction form
    407.99/611.76 = 134.04/x
  3. Step 3: Cross multiply
    407.99x = 611.76 × 134.04
  4. Step 4: Simplify right side
    407.99x = 82,000.31
  5. Step 5: Solve for x
    x = 82,000.31/407.99
  6. Step 6: Final answer
    x = 200.99

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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.