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Finding the Fourth Proportional to 856.11, 1,282.95 and 335.55

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Solution

The fourth proportional to 856.11, 1,282.95 and 335.55 is: 502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.11 : 1,282.95 = 335.55 : x
  2. Step 2: Convert to fraction form
    856.11/1,282.95 = 335.55/x
  3. Step 3: Cross multiply
    856.11x = 1,282.95 × 335.55
  4. Step 4: Simplify right side
    856.11x = 430,493.87
  5. Step 5: Solve for x
    x = 430,493.87/856.11
  6. Step 6: Final answer
    x = 502.85

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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.