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Finding the Fourth Proportional to 517.48, 713.54 and 369.86

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Solution

The fourth proportional to 517.48, 713.54 and 369.86 is: 509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.48 : 713.54 = 369.86 : x
  2. Step 2: Convert to fraction form
    517.48/713.54 = 369.86/x
  3. Step 3: Cross multiply
    517.48x = 713.54 × 369.86
  4. Step 4: Simplify right side
    517.48x = 263,907.26
  5. Step 5: Solve for x
    x = 263,907.26/517.48
  6. Step 6: Final answer
    x = 509.99

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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.