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Finding the Fourth Proportional to 564.99, 846.93 and 218.05

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Solution

The fourth proportional to 564.99, 846.93 and 218.05 is: 326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.99 : 846.93 = 218.05 : x
  2. Step 2: Convert to fraction form
    564.99/846.93 = 218.05/x
  3. Step 3: Cross multiply
    564.99x = 846.93 × 218.05
  4. Step 4: Simplify right side
    564.99x = 184,673.09
  5. Step 5: Solve for x
    x = 184,673.09/564.99
  6. Step 6: Final answer
    x = 326.86

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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.