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Finding the Fourth Proportional to 564.69, 779.55 and 378.49

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Solution

The fourth proportional to 564.69, 779.55 and 378.49 is: 522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.69 : 779.55 = 378.49 : x
  2. Step 2: Convert to fraction form
    564.69/779.55 = 378.49/x
  3. Step 3: Cross multiply
    564.69x = 779.55 × 378.49
  4. Step 4: Simplify right side
    564.69x = 295,051.88
  5. Step 5: Solve for x
    x = 295,051.88/564.69
  6. Step 6: Final answer
    x = 522.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.