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Finding the Fourth Proportional to 642.14, 961.77 and 334.29

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Solution

The fourth proportional to 642.14, 961.77 and 334.29 is: 500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.14 : 961.77 = 334.29 : x
  2. Step 2: Convert to fraction form
    642.14/961.77 = 334.29/x
  3. Step 3: Cross multiply
    642.14x = 961.77 × 334.29
  4. Step 4: Simplify right side
    642.14x = 321,510.09
  5. Step 5: Solve for x
    x = 321,510.09/642.14
  6. Step 6: Final answer
    x = 500.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.