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Finding the Fourth Proportional to 729.36, 1,094.10 and 216.36

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Solution

The fourth proportional to 729.36, 1,094.10 and 216.36 is: 324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.36 : 1,094.10 = 216.36 : x
  2. Step 2: Convert to fraction form
    729.36/1,094.10 = 216.36/x
  3. Step 3: Cross multiply
    729.36x = 1,094.10 × 216.36
  4. Step 4: Simplify right side
    729.36x = 236,719.48
  5. Step 5: Solve for x
    x = 236,719.48/729.36
  6. Step 6: Final answer
    x = 324.56

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Why These Related Problems?

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