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Finding the Fourth Proportional to 517.47, 776.51 and 192.83

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Solution

The fourth proportional to 517.47, 776.51 and 192.83 is: 289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.47 : 776.51 = 192.83 : x
  2. Step 2: Convert to fraction form
    517.47/776.51 = 192.83/x
  3. Step 3: Cross multiply
    517.47x = 776.51 × 192.83
  4. Step 4: Simplify right side
    517.47x = 149,729.58
  5. Step 5: Solve for x
    x = 149,729.58/517.47
  6. Step 6: Final answer
    x = 289.35

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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.