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Finding the Fourth Proportional to 564.86, 846.74 and 217.93

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Solution

The fourth proportional to 564.86, 846.74 and 217.93 is: 326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.86 : 846.74 = 217.93 : x
  2. Step 2: Convert to fraction form
    564.86/846.74 = 217.93/x
  3. Step 3: Cross multiply
    564.86x = 846.74 × 217.93
  4. Step 4: Simplify right side
    564.86x = 184,525.81
  5. Step 5: Solve for x
    x = 184,525.81/564.86
  6. Step 6: Final answer
    x = 326.68

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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.