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Finding the Fourth Proportional to 696.39, 961.01 and 401.69

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Solution

The fourth proportional to 696.39, 961.01 and 401.69 is: 554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.39 : 961.01 = 401.69 : x
  2. Step 2: Convert to fraction form
    696.39/961.01 = 401.69/x
  3. Step 3: Cross multiply
    696.39x = 961.01 × 401.69
  4. Step 4: Simplify right side
    696.39x = 386,021.29
  5. Step 5: Solve for x
    x = 386,021.29/696.39
  6. Step 6: Final answer
    x = 554.32

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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.