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Finding the Fourth Proportional to 517.13, 713.69 and 296.06

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Solution

The fourth proportional to 517.13, 713.69 and 296.06 is: 408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.13 : 713.69 = 296.06 : x
  2. Step 2: Convert to fraction form
    517.13/713.69 = 296.06/x
  3. Step 3: Cross multiply
    517.13x = 713.69 × 296.06
  4. Step 4: Simplify right side
    517.13x = 211,290.01
  5. Step 5: Solve for x
    x = 211,290.01/517.13
  6. Step 6: Final answer
    x = 408.59

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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.