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Finding the Fourth Proportional to 850.01, 1,275.01 and 294.71

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Solution

The fourth proportional to 850.01, 1,275.01 and 294.71 is: 442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.01 : 1,275.01 = 294.71 : x
  2. Step 2: Convert to fraction form
    850.01/1,275.01 = 294.71/x
  3. Step 3: Cross multiply
    850.01x = 1,275.01 × 294.71
  4. Step 4: Simplify right side
    850.01x = 375,751.09
  5. Step 5: Solve for x
    x = 375,751.09/850.01
  6. Step 6: Final answer
    x = 442.06

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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.