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Finding the Fourth Proportional to 703.25, 1,055.01 and 216.28

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Solution

The fourth proportional to 703.25, 1,055.01 and 216.28 is: 324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.25 : 1,055.01 = 216.28 : x
  2. Step 2: Convert to fraction form
    703.25/1,055.01 = 216.28/x
  3. Step 3: Cross multiply
    703.25x = 1,055.01 × 216.28
  4. Step 4: Simplify right side
    703.25x = 228,179.69
  5. Step 5: Solve for x
    x = 228,179.69/703.25
  6. Step 6: Final answer
    x = 324.47

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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.