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Finding the Fourth Proportional to 564.66, 847.25 and 218.07

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Solution

The fourth proportional to 564.66, 847.25 and 218.07 is: 327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.66 : 847.25 = 218.07 : x
  2. Step 2: Convert to fraction form
    564.66/847.25 = 218.07/x
  3. Step 3: Cross multiply
    564.66x = 847.25 × 218.07
  4. Step 4: Simplify right side
    564.66x = 184,758.72
  5. Step 5: Solve for x
    x = 184,758.72/564.66
  6. Step 6: Final answer
    x = 327.20

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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.