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Finding the Fourth Proportional to 696.82, 961.41 and 434.74

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Solution

The fourth proportional to 696.82, 961.41 and 434.74 is: 599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.82 : 961.41 = 434.74 : x
  2. Step 2: Convert to fraction form
    696.82/961.41 = 434.74/x
  3. Step 3: Cross multiply
    696.82x = 961.41 × 434.74
  4. Step 4: Simplify right side
    696.82x = 417,963.38
  5. Step 5: Solve for x
    x = 417,963.38/696.82
  6. Step 6: Final answer
    x = 599.82

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Double scale
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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.