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Finding the Fourth Proportional to 564.93, 779.38 and 378.22

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Solution

The fourth proportional to 564.93, 779.38 and 378.22 is: 521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.93 : 779.38 = 378.22 : x
  2. Step 2: Convert to fraction form
    564.93/779.38 = 378.22/x
  3. Step 3: Cross multiply
    564.93x = 779.38 × 378.22
  4. Step 4: Simplify right side
    564.93x = 294,777.10
  5. Step 5: Solve for x
    x = 294,777.10/564.93
  6. Step 6: Final answer
    x = 521.79

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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.