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Finding the Fourth Proportional to 695.71, 960.11 and 380.98

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Solution

The fourth proportional to 695.71, 960.11 and 380.98 is: 525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.71 : 960.11 = 380.98 : x
  2. Step 2: Convert to fraction form
    695.71/960.11 = 380.98/x
  3. Step 3: Cross multiply
    695.71x = 960.11 × 380.98
  4. Step 4: Simplify right side
    695.71x = 365,782.71
  5. Step 5: Solve for x
    x = 365,782.71/695.71
  6. Step 6: Final answer
    x = 525.77

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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.