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Finding the Fourth Proportional to 517.22, 713.74 and 296.18

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Solution

The fourth proportional to 517.22, 713.74 and 296.18 is: 408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.22 : 713.74 = 296.18 : x
  2. Step 2: Convert to fraction form
    517.22/713.74 = 296.18/x
  3. Step 3: Cross multiply
    517.22x = 713.74 × 296.18
  4. Step 4: Simplify right side
    517.22x = 211,395.51
  5. Step 5: Solve for x
    x = 211,395.51/517.22
  6. Step 6: Final answer
    x = 408.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.