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Finding the Fourth Proportional to 407.74, 611.37 and 191.50

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Solution

The fourth proportional to 407.74, 611.37 and 191.50 is: 287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.74 : 611.37 = 191.50 : x
  2. Step 2: Convert to fraction form
    407.74/611.37 = 191.50/x
  3. Step 3: Cross multiply
    407.74x = 611.37 × 191.50
  4. Step 4: Simplify right side
    407.74x = 117,077.36
  5. Step 5: Solve for x
    x = 117,077.36/407.74
  6. Step 6: Final answer
    x = 287.14

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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.