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Finding the Fourth Proportional to 517.12, 776.16 and 286.27

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Solution

The fourth proportional to 517.12, 776.16 and 286.27 is: 429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.12 : 776.16 = 286.27 : x
  2. Step 2: Convert to fraction form
    517.12/776.16 = 286.27/x
  3. Step 3: Cross multiply
    517.12x = 776.16 × 286.27
  4. Step 4: Simplify right side
    517.12x = 222,189.38
  5. Step 5: Solve for x
    x = 222,189.38/517.12
  6. Step 6: Final answer
    x = 429.67

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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.