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Finding the Fourth Proportional to 538.64, 807.81 and 191.93

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Solution

The fourth proportional to 538.64, 807.81 and 191.93 is: 287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.64 : 807.81 = 191.93 : x
  2. Step 2: Convert to fraction form
    538.64/807.81 = 191.93/x
  3. Step 3: Cross multiply
    538.64x = 807.81 × 191.93
  4. Step 4: Simplify right side
    538.64x = 155,042.97
  5. Step 5: Solve for x
    x = 155,042.97/538.64
  6. Step 6: Final answer
    x = 287.84

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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.