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Finding the Fourth Proportional to 850.25, 1,275.36 and 349.82

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Solution

The fourth proportional to 850.25, 1,275.36 and 349.82 is: 524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.25 : 1,275.36 = 349.82 : x
  2. Step 2: Convert to fraction form
    850.25/1,275.36 = 349.82/x
  3. Step 3: Cross multiply
    850.25x = 1,275.36 × 349.82
  4. Step 4: Simplify right side
    850.25x = 446,147.29
  5. Step 5: Solve for x
    x = 446,147.29/850.25
  6. Step 6: Final answer
    x = 524.72

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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.