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Finding the Fourth Proportional to 566.06, 779.83 and 538.27

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Solution

The fourth proportional to 566.06, 779.83 and 538.27 is: 741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.06 : 779.83 = 538.27 : x
  2. Step 2: Convert to fraction form
    566.06/779.83 = 538.27/x
  3. Step 3: Cross multiply
    566.06x = 779.83 × 538.27
  4. Step 4: Simplify right side
    566.06x = 419,759.09
  5. Step 5: Solve for x
    x = 419,759.09/566.06
  6. Step 6: Final answer
    x = 741.55

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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.