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Finding the Fourth Proportional to 517.79, 776.89 and 244.11

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Solution

The fourth proportional to 517.79, 776.89 and 244.11 is: 366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.79 : 776.89 = 244.11 : x
  2. Step 2: Convert to fraction form
    517.79/776.89 = 244.11/x
  3. Step 3: Cross multiply
    517.79x = 776.89 × 244.11
  4. Step 4: Simplify right side
    517.79x = 189,649.84
  5. Step 5: Solve for x
    x = 189,649.84/517.79
  6. Step 6: Final answer
    x = 366.27

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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.