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Finding the Fourth Proportional to 696.12, 960.38 and 401.24

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Solution

The fourth proportional to 696.12, 960.38 and 401.24 is: 553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.12 : 960.38 = 401.24 : x
  2. Step 2: Convert to fraction form
    696.12/960.38 = 401.24/x
  3. Step 3: Cross multiply
    696.12x = 960.38 × 401.24
  4. Step 4: Simplify right side
    696.12x = 385,342.87
  5. Step 5: Solve for x
    x = 385,342.87/696.12
  6. Step 6: Final answer
    x = 553.56

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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.