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Finding the Fourth Proportional to 564.93, 846.82 and 218.17

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Solution

The fourth proportional to 564.93, 846.82 and 218.17 is: 327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.93 : 846.82 = 218.17 : x
  2. Step 2: Convert to fraction form
    564.93/846.82 = 218.17/x
  3. Step 3: Cross multiply
    564.93x = 846.82 × 218.17
  4. Step 4: Simplify right side
    564.93x = 184,749.63
  5. Step 5: Solve for x
    x = 184,749.63/564.93
  6. Step 6: Final answer
    x = 327.03

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Why These Related Problems?

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