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Finding the Fourth Proportional to 564.17, 846.60 and 239.51

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Solution

The fourth proportional to 564.17, 846.60 and 239.51 is: 359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.17 : 846.60 = 239.51 : x
  2. Step 2: Convert to fraction form
    564.17/846.60 = 239.51/x
  3. Step 3: Cross multiply
    564.17x = 846.60 × 239.51
  4. Step 4: Simplify right side
    564.17x = 202,766.97
  5. Step 5: Solve for x
    x = 202,766.97/564.17
  6. Step 6: Final answer
    x = 359.41

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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.