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Finding the Fourth Proportional to 850.26, 1,275.55 and 302.83

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Solution

The fourth proportional to 850.26, 1,275.55 and 302.83 is: 454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.26 : 1,275.55 = 302.83 : x
  2. Step 2: Convert to fraction form
    850.26/1,275.55 = 302.83/x
  3. Step 3: Cross multiply
    850.26x = 1,275.55 × 302.83
  4. Step 4: Simplify right side
    850.26x = 386,268.43
  5. Step 5: Solve for x
    x = 386,268.43/850.26
  6. Step 6: Final answer
    x = 454.29

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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.