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Finding the Fourth Proportional to 431.65, 647.11 and 187.99

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Solution

The fourth proportional to 431.65, 647.11 and 187.99 is: 281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.65 : 647.11 = 187.99 : x
  2. Step 2: Convert to fraction form
    431.65/647.11 = 187.99/x
  3. Step 3: Cross multiply
    431.65x = 647.11 × 187.99
  4. Step 4: Simplify right side
    431.65x = 121,650.21
  5. Step 5: Solve for x
    x = 121,650.21/431.65
  6. Step 6: Final answer
    x = 281.83

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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.