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Finding the Fourth Proportional to 696.71, 961.67 and 402.19

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Solution

The fourth proportional to 696.71, 961.67 and 402.19 is: 555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.71 : 961.67 = 402.19 : x
  2. Step 2: Convert to fraction form
    696.71/961.67 = 402.19/x
  3. Step 3: Cross multiply
    696.71x = 961.67 × 402.19
  4. Step 4: Simplify right side
    696.71x = 386,774.06
  5. Step 5: Solve for x
    x = 386,774.06/696.71
  6. Step 6: Final answer
    x = 555.14

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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.