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Finding the Fourth Proportional to 564.97, 779.43 and 355.06

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Solution

The fourth proportional to 564.97, 779.43 and 355.06 is: 489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.97 : 779.43 = 355.06 : x
  2. Step 2: Convert to fraction form
    564.97/779.43 = 355.06/x
  3. Step 3: Cross multiply
    564.97x = 779.43 × 355.06
  4. Step 4: Simplify right side
    564.97x = 276,744.42
  5. Step 5: Solve for x
    x = 276,744.42/564.97
  6. Step 6: Final answer
    x = 489.84

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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.