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Finding the Fourth Proportional to 703.38, 1,055.09 and 216.44

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Solution

The fourth proportional to 703.38, 1,055.09 and 216.44 is: 324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.38 : 1,055.09 = 216.44 : x
  2. Step 2: Convert to fraction form
    703.38/1,055.09 = 216.44/x
  3. Step 3: Cross multiply
    703.38x = 1,055.09 × 216.44
  4. Step 4: Simplify right side
    703.38x = 228,362.90
  5. Step 5: Solve for x
    x = 228,362.90/703.38
  6. Step 6: Final answer
    x = 324.66

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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.