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Finding the Fourth Proportional to 518.64, 777.96 and 226.13

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Solution

The fourth proportional to 518.64, 777.96 and 226.13 is: 339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.64 : 777.96 = 226.13 : x
  2. Step 2: Convert to fraction form
    518.64/777.96 = 226.13/x
  3. Step 3: Cross multiply
    518.64x = 777.96 × 226.13
  4. Step 4: Simplify right side
    518.64x = 175,916.21
  5. Step 5: Solve for x
    x = 175,916.21/518.64
  6. Step 6: Final answer
    x = 339.19

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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.