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Finding the Fourth Proportional to 696.92, 961.64 and 434.84

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Solution

The fourth proportional to 696.92, 961.64 and 434.84 is: 600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.92 : 961.64 = 434.84 : x
  2. Step 2: Convert to fraction form
    696.92/961.64 = 434.84/x
  3. Step 3: Cross multiply
    696.92x = 961.64 × 434.84
  4. Step 4: Simplify right side
    696.92x = 418,159.54
  5. Step 5: Solve for x
    x = 418,159.54/696.92
  6. Step 6: Final answer
    x = 600.01

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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.