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Finding the Fourth Proportional to 564.05, 779.02 and 378.32

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Solution

The fourth proportional to 564.05, 779.02 and 378.32 is: 522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.05 : 779.02 = 378.32 : x
  2. Step 2: Convert to fraction form
    564.05/779.02 = 378.32/x
  3. Step 3: Cross multiply
    564.05x = 779.02 × 378.32
  4. Step 4: Simplify right side
    564.05x = 294,714.01
  5. Step 5: Solve for x
    x = 294,714.01/564.05
  6. Step 6: Final answer
    x = 522.49

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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.