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Finding the Fourth Proportional to 564.57, 779.71 and 387.99

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Solution

The fourth proportional to 564.57, 779.71 and 387.99 is: 535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.57 : 779.71 = 387.99 : x
  2. Step 2: Convert to fraction form
    564.57/779.71 = 387.99/x
  3. Step 3: Cross multiply
    564.57x = 779.71 × 387.99
  4. Step 4: Simplify right side
    564.57x = 302,523.09
  5. Step 5: Solve for x
    x = 302,523.09/564.57
  6. Step 6: Final answer
    x = 535.85

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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.