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Finding the Fourth Proportional to 865.44, 1,296.86 and 378.22

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Solution

The fourth proportional to 865.44, 1,296.86 and 378.22 is: 566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.44 : 1,296.86 = 378.22 : x
  2. Step 2: Convert to fraction form
    865.44/1,296.86 = 378.22/x
  3. Step 3: Cross multiply
    865.44x = 1,296.86 × 378.22
  4. Step 4: Simplify right side
    865.44x = 490,498.39
  5. Step 5: Solve for x
    x = 490,498.39/865.44
  6. Step 6: Final answer
    x = 566.76

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Double scale
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1.5x scale

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.