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Finding the Fourth Proportional to 433.71, 599.67 and 336.24

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Solution

The fourth proportional to 433.71, 599.67 and 336.24 is: 464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.71 : 599.67 = 336.24 : x
  2. Step 2: Convert to fraction form
    433.71/599.67 = 336.24/x
  3. Step 3: Cross multiply
    433.71x = 599.67 × 336.24
  4. Step 4: Simplify right side
    433.71x = 201,633.04
  5. Step 5: Solve for x
    x = 201,633.04/433.71
  6. Step 6: Final answer
    x = 464.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.