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Finding the Fourth Proportional to 696.88, 960.69 and 431.15

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Solution

The fourth proportional to 696.88, 960.69 and 431.15 is: 594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.88 : 960.69 = 431.15 : x
  2. Step 2: Convert to fraction form
    696.88/960.69 = 431.15/x
  3. Step 3: Cross multiply
    696.88x = 960.69 × 431.15
  4. Step 4: Simplify right side
    696.88x = 414,198.31
  5. Step 5: Solve for x
    x = 414,198.31/696.88
  6. Step 6: Final answer
    x = 594.36

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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.