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Finding the Fourth Proportional to 695.66, 960.01 and 380.93

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Solution

The fourth proportional to 695.66, 960.01 and 380.93 is: 525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.66 : 960.01 = 380.93 : x
  2. Step 2: Convert to fraction form
    695.66/960.01 = 380.93/x
  3. Step 3: Cross multiply
    695.66x = 960.01 × 380.93
  4. Step 4: Simplify right side
    695.66x = 365,692.29
  5. Step 5: Solve for x
    x = 365,692.29/695.66
  6. Step 6: Final answer
    x = 525.68

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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.