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Finding the Fourth Proportional to 857.76, 1,286.52 and 338.15

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Solution

The fourth proportional to 857.76, 1,286.52 and 338.15 is: 507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.76 : 1,286.52 = 338.15 : x
  2. Step 2: Convert to fraction form
    857.76/1,286.52 = 338.15/x
  3. Step 3: Cross multiply
    857.76x = 1,286.52 × 338.15
  4. Step 4: Simplify right side
    857.76x = 435,030.31
  5. Step 5: Solve for x
    x = 435,030.31/857.76
  6. Step 6: Final answer
    x = 507.17

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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.