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Finding the Fourth Proportional to 402.32, 602.55 and 333.97

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Solution

The fourth proportional to 402.32, 602.55 and 333.97 is: 500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.32 : 602.55 = 333.97 : x
  2. Step 2: Convert to fraction form
    402.32/602.55 = 333.97/x
  3. Step 3: Cross multiply
    402.32x = 602.55 × 333.97
  4. Step 4: Simplify right side
    402.32x = 201,232.12
  5. Step 5: Solve for x
    x = 201,232.12/402.32
  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.