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Finding the Fourth Proportional to 538.36, 805.36 and 447.24

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Solution

The fourth proportional to 538.36, 805.36 and 447.24 is: 669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.36 : 805.36 = 447.24 : x
  2. Step 2: Convert to fraction form
    538.36/805.36 = 447.24/x
  3. Step 3: Cross multiply
    538.36x = 805.36 × 447.24
  4. Step 4: Simplify right side
    538.36x = 360,189.21
  5. Step 5: Solve for x
    x = 360,189.21/538.36
  6. Step 6: Final answer
    x = 669.05

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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.