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Finding the Fourth Proportional to 402.94, 604.95 and 330.58

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Solution

The fourth proportional to 402.94, 604.95 and 330.58 is: 496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.94 : 604.95 = 330.58 : x
  2. Step 2: Convert to fraction form
    402.94/604.95 = 330.58/x
  3. Step 3: Cross multiply
    402.94x = 604.95 × 330.58
  4. Step 4: Simplify right side
    402.94x = 199,984.37
  5. Step 5: Solve for x
    x = 199,984.37/402.94
  6. Step 6: Final answer
    x = 496.31

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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.