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Finding the Fourth Proportional to 564.78, 779.75 and 355.24

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Solution

The fourth proportional to 564.78, 779.75 and 355.24 is: 490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.78 : 779.75 = 355.24 : x
  2. Step 2: Convert to fraction form
    564.78/779.75 = 355.24/x
  3. Step 3: Cross multiply
    564.78x = 779.75 × 355.24
  4. Step 4: Simplify right side
    564.78x = 276,998.39
  5. Step 5: Solve for x
    x = 276,998.39/564.78
  6. Step 6: Final answer
    x = 490.45

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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.