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Finding the Fourth Proportional to 850.20, 1,275.16 and 363.12

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Solution

The fourth proportional to 850.20, 1,275.16 and 363.12 is: 544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.20 : 1,275.16 = 363.12 : x
  2. Step 2: Convert to fraction form
    850.20/1,275.16 = 363.12/x
  3. Step 3: Cross multiply
    850.20x = 1,275.16 × 363.12
  4. Step 4: Simplify right side
    850.20x = 463,036.10
  5. Step 5: Solve for x
    x = 463,036.10/850.20
  6. Step 6: Final answer
    x = 544.62

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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.