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Finding the Fourth Proportional to 862.25, 1,293.05 and 314.27

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Solution

The fourth proportional to 862.25, 1,293.05 and 314.27 is: 471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.25 : 1,293.05 = 314.27 : x
  2. Step 2: Convert to fraction form
    862.25/1,293.05 = 314.27/x
  3. Step 3: Cross multiply
    862.25x = 1,293.05 × 314.27
  4. Step 4: Simplify right side
    862.25x = 406,361.14
  5. Step 5: Solve for x
    x = 406,361.14/862.25
  6. Step 6: Final answer
    x = 471.28

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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.