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Finding the Fourth Proportional to 708.26, 976.64 and 484.22

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Solution

The fourth proportional to 708.26, 976.64 and 484.22 is: 667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.26 : 976.64 = 484.22 : x
  2. Step 2: Convert to fraction form
    708.26/976.64 = 484.22/x
  3. Step 3: Cross multiply
    708.26x = 976.64 × 484.22
  4. Step 4: Simplify right side
    708.26x = 472,908.62
  5. Step 5: Solve for x
    x = 472,908.62/708.26
  6. Step 6: Final answer
    x = 667.70

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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.