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Finding the Fourth Proportional to 433.42, 649.32 and 336.22

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Solution

The fourth proportional to 433.42, 649.32 and 336.22 is: 503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.42 : 649.32 = 336.22 : x
  2. Step 2: Convert to fraction form
    433.42/649.32 = 336.22/x
  3. Step 3: Cross multiply
    433.42x = 649.32 × 336.22
  4. Step 4: Simplify right side
    433.42x = 218,314.37
  5. Step 5: Solve for x
    x = 218,314.37/433.42
  6. Step 6: Final answer
    x = 503.70

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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.