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Finding the Fourth Proportional to 722.64, 1,083.64 and 338

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Solution

The fourth proportional to 722.64, 1,083.64 and 338 is: 506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.64 : 1,083.64 = 338 : x
  2. Step 2: Convert to fraction form
    722.64/1,083.64 = 338/x
  3. Step 3: Cross multiply
    722.64x = 1,083.64 × 338
  4. Step 4: Simplify right side
    722.64x = 366,270.32
  5. Step 5: Solve for x
    x = 366,270.32/722.64
  6. Step 6: Final answer
    x = 506.85

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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.