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Finding the Fourth Proportional to 517.24, 713.63 and 320.82

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Solution

The fourth proportional to 517.24, 713.63 and 320.82 is: 442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.24 : 713.63 = 320.82 : x
  2. Step 2: Convert to fraction form
    517.24/713.63 = 320.82/x
  3. Step 3: Cross multiply
    517.24x = 713.63 × 320.82
  4. Step 4: Simplify right side
    517.24x = 228,946.78
  5. Step 5: Solve for x
    x = 228,946.78/517.24
  6. Step 6: Final answer
    x = 442.63

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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.