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Finding the Fourth Proportional to 564.96, 846.90 and 218.04

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Solution

The fourth proportional to 564.96, 846.90 and 218.04 is: 326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.96 : 846.90 = 218.04 : x
  2. Step 2: Convert to fraction form
    564.96/846.90 = 218.04/x
  3. Step 3: Cross multiply
    564.96x = 846.90 × 218.04
  4. Step 4: Simplify right side
    564.96x = 184,658.08
  5. Step 5: Solve for x
    x = 184,658.08/564.96
  6. Step 6: Final answer
    x = 326.85

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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.