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Finding the Fourth Proportional to 850.80, 1,275.35 and 330.48

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Solution

The fourth proportional to 850.80, 1,275.35 and 330.48 is: 495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.80 : 1,275.35 = 330.48 : x
  2. Step 2: Convert to fraction form
    850.80/1,275.35 = 330.48/x
  3. Step 3: Cross multiply
    850.80x = 1,275.35 × 330.48
  4. Step 4: Simplify right side
    850.80x = 421,476.02
  5. Step 5: Solve for x
    x = 421,476.02/850.80
  6. Step 6: Final answer
    x = 495.39

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