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Finding the Fourth Proportional to 856.04, 1,284.26 and 308.61

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Solution

The fourth proportional to 856.04, 1,284.26 and 308.61 is: 462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.04 : 1,284.26 = 308.61 : x
  2. Step 2: Convert to fraction form
    856.04/1,284.26 = 308.61/x
  3. Step 3: Cross multiply
    856.04x = 1,284.26 × 308.61
  4. Step 4: Simplify right side
    856.04x = 396,333.94
  5. Step 5: Solve for x
    x = 396,333.94/856.04
  6. Step 6: Final answer
    x = 462.99

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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.