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Finding the Fourth Proportional to 564.92, 847.54 and 223.16

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Solution

The fourth proportional to 564.92, 847.54 and 223.16 is: 334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.92 : 847.54 = 223.16 : x
  2. Step 2: Convert to fraction form
    564.92/847.54 = 223.16/x
  3. Step 3: Cross multiply
    564.92x = 847.54 × 223.16
  4. Step 4: Simplify right side
    564.92x = 189,137.03
  5. Step 5: Solve for x
    x = 189,137.03/564.92
  6. Step 6: Final answer
    x = 334.80

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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.