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Finding the Fourth Proportional to 564.08, 778.24 and 389.12

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Solution

The fourth proportional to 564.08, 778.24 and 389.12 is: 536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.08 : 778.24 = 389.12 : x
  2. Step 2: Convert to fraction form
    564.08/778.24 = 389.12/x
  3. Step 3: Cross multiply
    564.08x = 778.24 × 389.12
  4. Step 4: Simplify right side
    564.08x = 302,828.75
  5. Step 5: Solve for x
    x = 302,828.75/564.08
  6. Step 6: Final answer
    x = 536.85

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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.