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Finding the Fourth Proportional to 863.31, 1,191.24 and 490.26

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Solution

The fourth proportional to 863.31, 1,191.24 and 490.26 is: 676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.31 : 1,191.24 = 490.26 : x
  2. Step 2: Convert to fraction form
    863.31/1,191.24 = 490.26/x
  3. Step 3: Cross multiply
    863.31x = 1,191.24 × 490.26
  4. Step 4: Simplify right side
    863.31x = 584,017.32
  5. Step 5: Solve for x
    x = 584,017.32/863.31
  6. Step 6: Final answer
    x = 676.49

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.