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Finding the Fourth Proportional to 696.86, 961.86 and 434.84

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Solution

The fourth proportional to 696.86, 961.86 and 434.84 is: 600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.86 : 961.86 = 434.84 : x
  2. Step 2: Convert to fraction form
    696.86/961.86 = 434.84/x
  3. Step 3: Cross multiply
    696.86x = 961.86 × 434.84
  4. Step 4: Simplify right side
    696.86x = 418,255.20
  5. Step 5: Solve for x
    x = 418,255.20/696.86
  6. Step 6: Final answer
    x = 600.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.