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Finding the Fourth Proportional to 517.58, 776.28 and 192.87

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Solution

The fourth proportional to 517.58, 776.28 and 192.87 is: 289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.58 : 776.28 = 192.87 : x
  2. Step 2: Convert to fraction form
    517.58/776.28 = 192.87/x
  3. Step 3: Cross multiply
    517.58x = 776.28 × 192.87
  4. Step 4: Simplify right side
    517.58x = 149,721.12
  5. Step 5: Solve for x
    x = 149,721.12/517.58
  6. Step 6: Final answer
    x = 289.27

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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.