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Finding the Fourth Proportional to 433.69, 650.57 and 177.19

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Solution

The fourth proportional to 433.69, 650.57 and 177.19 is: 265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.69 : 650.57 = 177.19 : x
  2. Step 2: Convert to fraction form
    433.69/650.57 = 177.19/x
  3. Step 3: Cross multiply
    433.69x = 650.57 × 177.19
  4. Step 4: Simplify right side
    433.69x = 115,271.99
  5. Step 5: Solve for x
    x = 115,271.99/433.69
  6. Step 6: Final answer
    x = 265.80

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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.