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Finding the Fourth Proportional to 862.25, 1,292.54 and 314.06

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Solution

The fourth proportional to 862.25, 1,292.54 and 314.06 is: 470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.25 : 1,292.54 = 314.06 : x
  2. Step 2: Convert to fraction form
    862.25/1,292.54 = 314.06/x
  3. Step 3: Cross multiply
    862.25x = 1,292.54 × 314.06
  4. Step 4: Simplify right side
    862.25x = 405,927.08
  5. Step 5: Solve for x
    x = 405,927.08/862.25
  6. Step 6: Final answer
    x = 470.78

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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.