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Finding the Fourth Proportional to 534.48, 801.04 and 226.02

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Solution

The fourth proportional to 534.48, 801.04 and 226.02 is: 338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.48 : 801.04 = 226.02 : x
  2. Step 2: Convert to fraction form
    534.48/801.04 = 226.02/x
  3. Step 3: Cross multiply
    534.48x = 801.04 × 226.02
  4. Step 4: Simplify right side
    534.48x = 181,051.06
  5. Step 5: Solve for x
    x = 181,051.06/534.48
  6. Step 6: Final answer
    x = 338.74

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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.