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Finding the Fourth Proportional to 856.98, 1,285.57 and 309.42

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Solution

The fourth proportional to 856.98, 1,285.57 and 309.42 is: 464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.98 : 1,285.57 = 309.42 : x
  2. Step 2: Convert to fraction form
    856.98/1,285.57 = 309.42/x
  3. Step 3: Cross multiply
    856.98x = 1,285.57 × 309.42
  4. Step 4: Simplify right side
    856.98x = 397,781.46
  5. Step 5: Solve for x
    x = 397,781.46/856.98
  6. Step 6: Final answer
    x = 464.17

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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.