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Finding the Fourth Proportional to 736.19, 1,104.47 and 216.24

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Solution

The fourth proportional to 736.19, 1,104.47 and 216.24 is: 324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.19 : 1,104.47 = 216.24 : x
  2. Step 2: Convert to fraction form
    736.19/1,104.47 = 216.24/x
  3. Step 3: Cross multiply
    736.19x = 1,104.47 × 216.24
  4. Step 4: Simplify right side
    736.19x = 238,826.18
  5. Step 5: Solve for x
    x = 238,826.18/736.19
  6. Step 6: Final answer
    x = 324.41

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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.