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Finding the Fourth Proportional to 696.25, 960.48 and 416.40

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Solution

The fourth proportional to 696.25, 960.48 and 416.40 is: 574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.25 : 960.48 = 416.40 : x
  2. Step 2: Convert to fraction form
    696.25/960.48 = 416.40/x
  3. Step 3: Cross multiply
    696.25x = 960.48 × 416.40
  4. Step 4: Simplify right side
    696.25x = 399,943.87
  5. Step 5: Solve for x
    x = 399,943.87/696.25
  6. Step 6: Final answer
    x = 574.43

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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.