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Finding the Fourth Proportional to 856.68, 1,285.50 and 309.32

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Solution

The fourth proportional to 856.68, 1,285.50 and 309.32 is: 464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.68 : 1,285.50 = 309.32 : x
  2. Step 2: Convert to fraction form
    856.68/1,285.50 = 309.32/x
  3. Step 3: Cross multiply
    856.68x = 1,285.50 × 309.32
  4. Step 4: Simplify right side
    856.68x = 397,630.86
  5. Step 5: Solve for x
    x = 397,630.86/856.68
  6. Step 6: Final answer
    x = 464.15

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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.