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Finding the Fourth Proportional to 564.14, 778.33 and 389.59

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Solution

The fourth proportional to 564.14, 778.33 and 389.59 is: 537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.14 : 778.33 = 389.59 : x
  2. Step 2: Convert to fraction form
    564.14/778.33 = 389.59/x
  3. Step 3: Cross multiply
    564.14x = 778.33 × 389.59
  4. Step 4: Simplify right side
    564.14x = 303,229.58
  5. Step 5: Solve for x
    x = 303,229.58/564.14
  6. Step 6: Final answer
    x = 537.51

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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.