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Finding the Fourth Proportional to 538.66, 807.73 and 246.07

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Solution

The fourth proportional to 538.66, 807.73 and 246.07 is: 368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.66 : 807.73 = 246.07 : x
  2. Step 2: Convert to fraction form
    538.66/807.73 = 246.07/x
  3. Step 3: Cross multiply
    538.66x = 807.73 × 246.07
  4. Step 4: Simplify right side
    538.66x = 198,757.01
  5. Step 5: Solve for x
    x = 198,757.01/538.66
  6. Step 6: Final answer
    x = 368.99

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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.