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Finding the Fourth Proportional to 538.28, 807.51 and 213.65

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Solution

The fourth proportional to 538.28, 807.51 and 213.65 is: 320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.28 : 807.51 = 213.65 : x
  2. Step 2: Convert to fraction form
    538.28/807.51 = 213.65/x
  3. Step 3: Cross multiply
    538.28x = 807.51 × 213.65
  4. Step 4: Simplify right side
    538.28x = 172,524.51
  5. Step 5: Solve for x
    x = 172,524.51/538.28
  6. Step 6: Final answer
    x = 320.51

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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.