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Finding the Fourth Proportional to 517.56, 713.98 and 296.45

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Solution

The fourth proportional to 517.56, 713.98 and 296.45 is: 408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.56 : 713.98 = 296.45 : x
  2. Step 2: Convert to fraction form
    517.56/713.98 = 296.45/x
  3. Step 3: Cross multiply
    517.56x = 713.98 × 296.45
  4. Step 4: Simplify right side
    517.56x = 211,661.53
  5. Step 5: Solve for x
    x = 211,661.53/517.56
  6. Step 6: Final answer
    x = 408.96

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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.