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Finding the Fourth Proportional to 696.10, 960.39 and 416.38

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Solution

The fourth proportional to 696.10, 960.39 and 416.38 is: 574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.10 : 960.39 = 416.38 : x
  2. Step 2: Convert to fraction form
    696.10/960.39 = 416.38/x
  3. Step 3: Cross multiply
    696.10x = 960.39 × 416.38
  4. Step 4: Simplify right side
    696.10x = 399,887.19
  5. Step 5: Solve for x
    x = 399,887.19/696.10
  6. Step 6: Final answer
    x = 574.47

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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.