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Finding the Fourth Proportional to 444.45, 613.20 and 297.12

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Solution

The fourth proportional to 444.45, 613.20 and 297.12 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.45 : 613.20 = 297.12 : x
  2. Step 2: Convert to fraction form
    444.45/613.20 = 297.12/x
  3. Step 3: Cross multiply
    444.45x = 613.20 × 297.12
  4. Step 4: Simplify right side
    444.45x = 182,193.98
  5. Step 5: Solve for x
    x = 182,193.98/444.45
  6. Step 6: Final answer
    x = 409.93

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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.