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Finding the Fourth Proportional to 850.61, 1,275.35 and 295.18

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Solution

The fourth proportional to 850.61, 1,275.35 and 295.18 is: 442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.61 : 1,275.35 = 295.18 : x
  2. Step 2: Convert to fraction form
    850.61/1,275.35 = 295.18/x
  3. Step 3: Cross multiply
    850.61x = 1,275.35 × 295.18
  4. Step 4: Simplify right side
    850.61x = 376,453.15
  5. Step 5: Solve for x
    x = 376,453.15/850.61
  6. Step 6: Final answer
    x = 442.57

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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.