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Finding the Fourth Proportional to 538.11, 807.98 and 265.14

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Solution

The fourth proportional to 538.11, 807.98 and 265.14 is: 398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.11 : 807.98 = 265.14 : x
  2. Step 2: Convert to fraction form
    538.11/807.98 = 265.14/x
  3. Step 3: Cross multiply
    538.11x = 807.98 × 265.14
  4. Step 4: Simplify right side
    538.11x = 214,226.49
  5. Step 5: Solve for x
    x = 214,226.49/538.11
  6. Step 6: Final answer
    x = 398.11

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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.