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Finding the Fourth Proportional to 850.42, 1,275.63 and 265.42

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Solution

The fourth proportional to 850.42, 1,275.63 and 265.42 is: 398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.42 : 1,275.63 = 265.42 : x
  2. Step 2: Convert to fraction form
    850.42/1,275.63 = 265.42/x
  3. Step 3: Cross multiply
    850.42x = 1,275.63 × 265.42
  4. Step 4: Simplify right side
    850.42x = 338,579.81
  5. Step 5: Solve for x
    x = 338,579.81/850.42
  6. Step 6: Final answer
    x = 398.13

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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.