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Finding the Fourth Proportional to 856.63, 1,284.17 and 308.42

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Solution

The fourth proportional to 856.63, 1,284.17 and 308.42 is: 462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.63 : 1,284.17 = 308.42 : x
  2. Step 2: Convert to fraction form
    856.63/1,284.17 = 308.42/x
  3. Step 3: Cross multiply
    856.63x = 1,284.17 × 308.42
  4. Step 4: Simplify right side
    856.63x = 396,069.52
  5. Step 5: Solve for x
    x = 396,069.52/856.63
  6. Step 6: Final answer
    x = 462.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.