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Finding the Fourth Proportional to 517.68, 776.24 and 193.28

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Solution

The fourth proportional to 517.68, 776.24 and 193.28 is: 289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.68 : 776.24 = 193.28 : x
  2. Step 2: Convert to fraction form
    517.68/776.24 = 193.28/x
  3. Step 3: Cross multiply
    517.68x = 776.24 × 193.28
  4. Step 4: Simplify right side
    517.68x = 150,031.67
  5. Step 5: Solve for x
    x = 150,031.67/517.68
  6. Step 6: Final answer
    x = 289.82

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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.