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Finding the Fourth Proportional to 738.83, 1,108.24 and 300.08

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Solution

The fourth proportional to 738.83, 1,108.24 and 300.08 is: 450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.83 : 1,108.24 = 300.08 : x
  2. Step 2: Convert to fraction form
    738.83/1,108.24 = 300.08/x
  3. Step 3: Cross multiply
    738.83x = 1,108.24 × 300.08
  4. Step 4: Simplify right side
    738.83x = 332,555.12
  5. Step 5: Solve for x
    x = 332,555.12/738.83
  6. Step 6: Final answer
    x = 450.11

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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.