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Finding the Fourth Proportional to 850.65, 1,275.40 and 295.22

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Solution

The fourth proportional to 850.65, 1,275.40 and 295.22 is: 442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.65 : 1,275.40 = 295.22 : x
  2. Step 2: Convert to fraction form
    850.65/1,275.40 = 295.22/x
  3. Step 3: Cross multiply
    850.65x = 1,275.40 × 295.22
  4. Step 4: Simplify right side
    850.65x = 376,526.04
  5. Step 5: Solve for x
    x = 376,526.04/850.65
  6. Step 6: Final answer
    x = 442.63

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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.