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Finding the Fourth Proportional to 696.06, 961.83 and 463.50

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Solution

The fourth proportional to 696.06, 961.83 and 463.50 is: 640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.06 : 961.83 = 463.50 : x
  2. Step 2: Convert to fraction form
    696.06/961.83 = 463.50/x
  3. Step 3: Cross multiply
    696.06x = 961.83 × 463.50
  4. Step 4: Simplify right side
    696.06x = 445,808.21
  5. Step 5: Solve for x
    x = 445,808.21/696.06
  6. Step 6: Final answer
    x = 640.47

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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.