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Finding the Fourth Proportional to 538.25, 807.10 and 225.84

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Solution

The fourth proportional to 538.25, 807.10 and 225.84 is: 338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.25 : 807.10 = 225.84 : x
  2. Step 2: Convert to fraction form
    538.25/807.10 = 225.84/x
  3. Step 3: Cross multiply
    538.25x = 807.10 × 225.84
  4. Step 4: Simplify right side
    538.25x = 182,275.46
  5. Step 5: Solve for x
    x = 182,275.46/538.25
  6. Step 6: Final answer
    x = 338.64

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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.