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Finding the Fourth Proportional to 722.24, 1,083.14 and 235.02

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Solution

The fourth proportional to 722.24, 1,083.14 and 235.02 is: 352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.24 : 1,083.14 = 235.02 : x
  2. Step 2: Convert to fraction form
    722.24/1,083.14 = 235.02/x
  3. Step 3: Cross multiply
    722.24x = 1,083.14 × 235.02
  4. Step 4: Simplify right side
    722.24x = 254,558.39
  5. Step 5: Solve for x
    x = 254,558.39/722.24
  6. Step 6: Final answer
    x = 352.46

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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.