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Finding the Fourth Proportional to 696.01, 960.34 and 416.20

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Solution

The fourth proportional to 696.01, 960.34 and 416.20 is: 574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.01 : 960.34 = 416.20 : x
  2. Step 2: Convert to fraction form
    696.01/960.34 = 416.20/x
  3. Step 3: Cross multiply
    696.01x = 960.34 × 416.20
  4. Step 4: Simplify right side
    696.01x = 399,691.43
  5. Step 5: Solve for x
    x = 399,691.43/696.01
  6. Step 6: Final answer
    x = 574.26

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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.