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Finding the Fourth Proportional to 517.79, 775.42 and 334.63

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Solution

The fourth proportional to 517.79, 775.42 and 334.63 is: 501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.79 : 775.42 = 334.63 : x
  2. Step 2: Convert to fraction form
    517.79/775.42 = 334.63/x
  3. Step 3: Cross multiply
    517.79x = 775.42 × 334.63
  4. Step 4: Simplify right side
    517.79x = 259,478.79
  5. Step 5: Solve for x
    x = 259,478.79/517.79
  6. Step 6: Final answer
    x = 501.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.