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Finding the Fourth Proportional to 433.16, 649.74 and 155.52

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Solution

The fourth proportional to 433.16, 649.74 and 155.52 is: 233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 649.74 = 155.52 : x
  2. Step 2: Convert to fraction form
    433.16/649.74 = 155.52/x
  3. Step 3: Cross multiply
    433.16x = 649.74 × 155.52
  4. Step 4: Simplify right side
    433.16x = 101,047.56
  5. Step 5: Solve for x
    x = 101,047.56/433.16
  6. Step 6: Final answer
    x = 233.28

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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.