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Finding the Fourth Proportional to 518.72, 777.84 and 422.24

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Solution

The fourth proportional to 518.72, 777.84 and 422.24 is: 633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.72 : 777.84 = 422.24 : x
  2. Step 2: Convert to fraction form
    518.72/777.84 = 422.24/x
  3. Step 3: Cross multiply
    518.72x = 777.84 × 422.24
  4. Step 4: Simplify right side
    518.72x = 328,435.16
  5. Step 5: Solve for x
    x = 328,435.16/518.72
  6. Step 6: Final answer
    x = 633.16

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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.