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Finding the Fourth Proportional to 696.74, 961.43 and 402.10

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Solution

The fourth proportional to 696.74, 961.43 and 402.10 is: 554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.74 : 961.43 = 402.10 : x
  2. Step 2: Convert to fraction form
    696.74/961.43 = 402.10/x
  3. Step 3: Cross multiply
    696.74x = 961.43 × 402.10
  4. Step 4: Simplify right side
    696.74x = 386,586.59
  5. Step 5: Solve for x
    x = 386,586.59/696.74
  6. Step 6: Final answer
    x = 554.85

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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.