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Finding the Fourth Proportional to 738.88, 1,108.32 and 226.24

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Solution

The fourth proportional to 738.88, 1,108.32 and 226.24 is: 339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.88 : 1,108.32 = 226.24 : x
  2. Step 2: Convert to fraction form
    738.88/1,108.32 = 226.24/x
  3. Step 3: Cross multiply
    738.88x = 1,108.32 × 226.24
  4. Step 4: Simplify right side
    738.88x = 250,746.32
  5. Step 5: Solve for x
    x = 250,746.32/738.88
  6. Step 6: Final answer
    x = 339.36

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