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Finding the Fourth Proportional to 707.77, 976.71 and 397.27

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Solution

The fourth proportional to 707.77, 976.71 and 397.27 is: 548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.77 : 976.71 = 397.27 : x
  2. Step 2: Convert to fraction form
    707.77/976.71 = 397.27/x
  3. Step 3: Cross multiply
    707.77x = 976.71 × 397.27
  4. Step 4: Simplify right side
    707.77x = 388,020.29
  5. Step 5: Solve for x
    x = 388,020.29/707.77
  6. Step 6: Final answer
    x = 548.23

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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.