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Finding the Fourth Proportional to 564.27, 846.83 and 369.22

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Solution

The fourth proportional to 564.27, 846.83 and 369.22 is: 554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.27 : 846.83 = 369.22 : x
  2. Step 2: Convert to fraction form
    564.27/846.83 = 369.22/x
  3. Step 3: Cross multiply
    564.27x = 846.83 × 369.22
  4. Step 4: Simplify right side
    564.27x = 312,666.57
  5. Step 5: Solve for x
    x = 312,666.57/564.27
  6. Step 6: Final answer
    x = 554.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.