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Finding the Fourth Proportional to 601.29, 829.04 and 496.80

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Solution

The fourth proportional to 601.29, 829.04 and 496.80 is: 684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.29 : 829.04 = 496.80 : x
  2. Step 2: Convert to fraction form
    601.29/829.04 = 496.80/x
  3. Step 3: Cross multiply
    601.29x = 829.04 × 496.80
  4. Step 4: Simplify right side
    601.29x = 411,864.59
  5. Step 5: Solve for x
    x = 411,864.59/601.29
  6. Step 6: Final answer
    x = 684.97

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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.