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Finding the Fourth Proportional to 517.29, 713.54 and 369.68

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Solution

The fourth proportional to 517.29, 713.54 and 369.68 is: 509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.29 : 713.54 = 369.68 : x
  2. Step 2: Convert to fraction form
    517.29/713.54 = 369.68/x
  3. Step 3: Cross multiply
    517.29x = 713.54 × 369.68
  4. Step 4: Simplify right side
    517.29x = 263,776.05
  5. Step 5: Solve for x
    x = 263,776.05/517.29
  6. Step 6: Final answer
    x = 509.92

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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.