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Finding the Fourth Proportional to 517.73, 713.00 and 506.39

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Solution

The fourth proportional to 517.73, 713.00 and 506.39 is: 697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.73 : 713.00 = 506.39 : x
  2. Step 2: Convert to fraction form
    517.73/713.00 = 506.39/x
  3. Step 3: Cross multiply
    517.73x = 713.00 × 506.39
  4. Step 4: Simplify right side
    517.73x = 361,053.77
  5. Step 5: Solve for x
    x = 361,053.77/517.73
  6. Step 6: Final answer
    x = 697.39

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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.