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Finding the Fourth Proportional to 856.36, 1,284.74 and 308.55

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Solution

The fourth proportional to 856.36, 1,284.74 and 308.55 is: 462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.36 : 1,284.74 = 308.55 : x
  2. Step 2: Convert to fraction form
    856.36/1,284.74 = 308.55/x
  3. Step 3: Cross multiply
    856.36x = 1,284.74 × 308.55
  4. Step 4: Simplify right side
    856.36x = 396,406.53
  5. Step 5: Solve for x
    x = 396,406.53/856.36
  6. Step 6: Final answer
    x = 462.90

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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.