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Finding the Fourth Proportional to 517.14, 713.66 and 296.11

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Solution

The fourth proportional to 517.14, 713.66 and 296.11 is: 408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.14 : 713.66 = 296.11 : x
  2. Step 2: Convert to fraction form
    517.14/713.66 = 296.11/x
  3. Step 3: Cross multiply
    517.14x = 713.66 × 296.11
  4. Step 4: Simplify right side
    517.14x = 211,316.81
  5. Step 5: Solve for x
    x = 211,316.81/517.14
  6. Step 6: Final answer
    x = 408.63

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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.