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Finding the Fourth Proportional to 564.07, 846.01 and 217.57

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Solution

The fourth proportional to 564.07, 846.01 and 217.57 is: 326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.07 : 846.01 = 217.57 : x
  2. Step 2: Convert to fraction form
    564.07/846.01 = 217.57/x
  3. Step 3: Cross multiply
    564.07x = 846.01 × 217.57
  4. Step 4: Simplify right side
    564.07x = 184,062.17
  5. Step 5: Solve for x
    x = 184,062.17/564.07
  6. Step 6: Final answer
    x = 326.31

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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.