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Finding the Fourth Proportional to 407.42, 610.92 and 190.82

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Solution

The fourth proportional to 407.42, 610.92 and 190.82 is: 286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.42 : 610.92 = 190.82 : x
  2. Step 2: Convert to fraction form
    407.42/610.92 = 190.82/x
  3. Step 3: Cross multiply
    407.42x = 610.92 × 190.82
  4. Step 4: Simplify right side
    407.42x = 116,575.75
  5. Step 5: Solve for x
    x = 116,575.75/407.42
  6. Step 6: Final answer
    x = 286.13

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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.