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Finding the Fourth Proportional to 696.01, 960.46 and 416.08

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Solution

The fourth proportional to 696.01, 960.46 and 416.08 is: 574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.01 : 960.46 = 416.08 : x
  2. Step 2: Convert to fraction form
    696.01/960.46 = 416.08/x
  3. Step 3: Cross multiply
    696.01x = 960.46 × 416.08
  4. Step 4: Simplify right side
    696.01x = 399,625.81
  5. Step 5: Solve for x
    x = 399,625.81/696.01
  6. Step 6: Final answer
    x = 574.17

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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.