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Finding the Fourth Proportional to 468.97, 701.62 and 330.46

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Solution

The fourth proportional to 468.97, 701.62 and 330.46 is: 494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.97 : 701.62 = 330.46 : x
  2. Step 2: Convert to fraction form
    468.97/701.62 = 330.46/x
  3. Step 3: Cross multiply
    468.97x = 701.62 × 330.46
  4. Step 4: Simplify right side
    468.97x = 231,857.35
  5. Step 5: Solve for x
    x = 231,857.35/468.97
  6. Step 6: Final answer
    x = 494.40

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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.