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Finding the Fourth Proportional to 738.22, 1,106.68 and 299.20

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Solution

The fourth proportional to 738.22, 1,106.68 and 299.20 is: 448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.22 : 1,106.68 = 299.20 : x
  2. Step 2: Convert to fraction form
    738.22/1,106.68 = 299.20/x
  3. Step 3: Cross multiply
    738.22x = 1,106.68 × 299.20
  4. Step 4: Simplify right side
    738.22x = 331,118.66
  5. Step 5: Solve for x
    x = 331,118.66/738.22
  6. Step 6: Final answer
    x = 448.54

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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.