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Finding the Fourth Proportional to 696.21, 960.69 and 416.38

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Solution

The fourth proportional to 696.21, 960.69 and 416.38 is: 574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.21 : 960.69 = 416.38 : x
  2. Step 2: Convert to fraction form
    696.21/960.69 = 416.38/x
  3. Step 3: Cross multiply
    696.21x = 960.69 × 416.38
  4. Step 4: Simplify right side
    696.21x = 400,012.10
  5. Step 5: Solve for x
    x = 400,012.10/696.21
  6. Step 6: Final answer
    x = 574.56

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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.