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Finding the Fourth Proportional to 538.13, 807.53 and 213.51

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Solution

The fourth proportional to 538.13, 807.53 and 213.51 is: 320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.13 : 807.53 = 213.51 : x
  2. Step 2: Convert to fraction form
    538.13/807.53 = 213.51/x
  3. Step 3: Cross multiply
    538.13x = 807.53 × 213.51
  4. Step 4: Simplify right side
    538.13x = 172,414.66
  5. Step 5: Solve for x
    x = 172,414.66/538.13
  6. Step 6: Final answer
    x = 320.40

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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.