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Finding the Fourth Proportional to 856.77, 1,285.16 and 308.95

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Solution

The fourth proportional to 856.77, 1,285.16 and 308.95 is: 463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.77 : 1,285.16 = 308.95 : x
  2. Step 2: Convert to fraction form
    856.77/1,285.16 = 308.95/x
  3. Step 3: Cross multiply
    856.77x = 1,285.16 × 308.95
  4. Step 4: Simplify right side
    856.77x = 397,053.52
  5. Step 5: Solve for x
    x = 397,053.52/856.77
  6. Step 6: Final answer
    x = 463.43

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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.