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Finding the Fourth Proportional to 517.60, 713.28 and 369.82

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Solution

The fourth proportional to 517.60, 713.28 and 369.82 is: 509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.60 : 713.28 = 369.82 : x
  2. Step 2: Convert to fraction form
    517.60/713.28 = 369.82/x
  3. Step 3: Cross multiply
    517.60x = 713.28 × 369.82
  4. Step 4: Simplify right side
    517.60x = 263,785.21
  5. Step 5: Solve for x
    x = 263,785.21/517.60
  6. Step 6: Final answer
    x = 509.63

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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.