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Finding the Fourth Proportional to 695.94, 960.33 and 416.25

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Solution

The fourth proportional to 695.94, 960.33 and 416.25 is: 574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.94 : 960.33 = 416.25 : x
  2. Step 2: Convert to fraction form
    695.94/960.33 = 416.25/x
  3. Step 3: Cross multiply
    695.94x = 960.33 × 416.25
  4. Step 4: Simplify right side
    695.94x = 399,738.92
  5. Step 5: Solve for x
    x = 399,738.92/695.94
  6. Step 6: Final answer
    x = 574.39

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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.