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Finding the Fourth Proportional to 407.46, 610.20 and 191.10

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Solution

The fourth proportional to 407.46, 610.20 and 191.10 is: 286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.46 : 610.20 = 191.10 : x
  2. Step 2: Convert to fraction form
    407.46/610.20 = 191.10/x
  3. Step 3: Cross multiply
    407.46x = 610.20 × 191.10
  4. Step 4: Simplify right side
    407.46x = 116,609.22
  5. Step 5: Solve for x
    x = 116,609.22/407.46
  6. Step 6: Final answer
    x = 286.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.