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Finding the Fourth Proportional to 695.78, 960.23 and 397.12

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Solution

The fourth proportional to 695.78, 960.23 and 397.12 is: 548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.78 : 960.23 = 397.12 : x
  2. Step 2: Convert to fraction form
    695.78/960.23 = 397.12/x
  3. Step 3: Cross multiply
    695.78x = 960.23 × 397.12
  4. Step 4: Simplify right side
    695.78x = 381,321.76
  5. Step 5: Solve for x
    x = 381,321.76/695.78
  6. Step 6: Final answer
    x = 548.05

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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.