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Finding the Fourth Proportional to 337.11, 464.41 and 322.53

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Solution

The fourth proportional to 337.11, 464.41 and 322.53 is: 444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.11 : 464.41 = 322.53 : x
  2. Step 2: Convert to fraction form
    337.11/464.41 = 322.53/x
  3. Step 3: Cross multiply
    337.11x = 464.41 × 322.53
  4. Step 4: Simplify right side
    337.11x = 149,786.16
  5. Step 5: Solve for x
    x = 149,786.16/337.11
  6. Step 6: Final answer
    x = 444.32

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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.