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Finding the Fourth Proportional to 538.14, 807.09 and 245.55

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Solution

The fourth proportional to 538.14, 807.09 and 245.55 is: 368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.14 : 807.09 = 245.55 : x
  2. Step 2: Convert to fraction form
    538.14/807.09 = 245.55/x
  3. Step 3: Cross multiply
    538.14x = 807.09 × 245.55
  4. Step 4: Simplify right side
    538.14x = 198,182.35
  5. Step 5: Solve for x
    x = 198,182.35/538.14
  6. Step 6: Final answer
    x = 368.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.