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Finding the Fourth Proportional to 517.37, 713.15 and 406.65

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Solution

The fourth proportional to 517.37, 713.15 and 406.65 is: 560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.37 : 713.15 = 406.65 : x
  2. Step 2: Convert to fraction form
    517.37/713.15 = 406.65/x
  3. Step 3: Cross multiply
    517.37x = 713.15 × 406.65
  4. Step 4: Simplify right side
    517.37x = 290,000.41
  5. Step 5: Solve for x
    x = 290,000.41/517.37
  6. Step 6: Final answer
    x = 560.53

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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.