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Finding the Fourth Proportional to 538.16, 806.64 and 213.32

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Solution

The fourth proportional to 538.16, 806.64 and 213.32 is: 319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.16 : 806.64 = 213.32 : x
  2. Step 2: Convert to fraction form
    538.16/806.64 = 213.32/x
  3. Step 3: Cross multiply
    538.16x = 806.64 × 213.32
  4. Step 4: Simplify right side
    538.16x = 172,072.44
  5. Step 5: Solve for x
    x = 172,072.44/538.16
  6. Step 6: Final answer
    x = 319.74

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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.