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Finding the Fourth Proportional to 856.91, 1,285.52 and 309.08

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Solution

The fourth proportional to 856.91, 1,285.52 and 309.08 is: 463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.91 : 1,285.52 = 309.08 : x
  2. Step 2: Convert to fraction form
    856.91/1,285.52 = 309.08/x
  3. Step 3: Cross multiply
    856.91x = 1,285.52 × 309.08
  4. Step 4: Simplify right side
    856.91x = 397,328.52
  5. Step 5: Solve for x
    x = 397,328.52/856.91
  6. Step 6: Final answer
    x = 463.68

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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.