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Finding the Fourth Proportional to 401.53, 602.23 and 333.49

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Solution

The fourth proportional to 401.53, 602.23 and 333.49 is: 500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.53 : 602.23 = 333.49 : x
  2. Step 2: Convert to fraction form
    401.53/602.23 = 333.49/x
  3. Step 3: Cross multiply
    401.53x = 602.23 × 333.49
  4. Step 4: Simplify right side
    401.53x = 200,837.68
  5. Step 5: Solve for x
    x = 200,837.68/401.53
  6. Step 6: Final answer
    x = 500.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.