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Finding the Fourth Proportional to 433.28, 598.40 and 336.20

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Solution

The fourth proportional to 433.28, 598.40 and 336.20 is: 464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.28 : 598.40 = 336.20 : x
  2. Step 2: Convert to fraction form
    433.28/598.40 = 336.20/x
  3. Step 3: Cross multiply
    433.28x = 598.40 × 336.20
  4. Step 4: Simplify right side
    433.28x = 201,182.08
  5. Step 5: Solve for x
    x = 201,182.08/433.28
  6. Step 6: Final answer
    x = 464.32

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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.