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Finding the Fourth Proportional to 738.24, 1,018.50 and 443.40

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Solution

The fourth proportional to 738.24, 1,018.50 and 443.40 is: 611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.24 : 1,018.50 = 443.40 : x
  2. Step 2: Convert to fraction form
    738.24/1,018.50 = 443.40/x
  3. Step 3: Cross multiply
    738.24x = 1,018.50 × 443.40
  4. Step 4: Simplify right side
    738.24x = 451,602.90
  5. Step 5: Solve for x
    x = 451,602.90/738.24
  6. Step 6: Final answer
    x = 611.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.