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Finding the Fourth Proportional to 517.82, 776.12 and 300.94

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Solution

The fourth proportional to 517.82, 776.12 and 300.94 is: 451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.82 : 776.12 = 300.94 : x
  2. Step 2: Convert to fraction form
    517.82/776.12 = 300.94/x
  3. Step 3: Cross multiply
    517.82x = 776.12 × 300.94
  4. Step 4: Simplify right side
    517.82x = 233,565.55
  5. Step 5: Solve for x
    x = 233,565.55/517.82
  6. Step 6: Final answer
    x = 451.06

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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.