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Finding the Fourth Proportional to 538.10, 807.15 and 481.40

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Solution

The fourth proportional to 538.10, 807.15 and 481.40 is: 722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.10 : 807.15 = 481.40 : x
  2. Step 2: Convert to fraction form
    538.10/807.15 = 481.40/x
  3. Step 3: Cross multiply
    538.10x = 807.15 × 481.40
  4. Step 4: Simplify right side
    538.10x = 388,562.01
  5. Step 5: Solve for x
    x = 388,562.01/538.10
  6. Step 6: Final answer
    x = 722.10

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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.