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Finding the Fourth Proportional to 433.67, 650.78 and 177.17

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Solution

The fourth proportional to 433.67, 650.78 and 177.17 is: 265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.67 : 650.78 = 177.17 : x
  2. Step 2: Convert to fraction form
    433.67/650.78 = 177.17/x
  3. Step 3: Cross multiply
    433.67x = 650.78 × 177.17
  4. Step 4: Simplify right side
    433.67x = 115,298.69
  5. Step 5: Solve for x
    x = 115,298.69/433.67
  6. Step 6: Final answer
    x = 265.87

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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.