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Finding the Fourth Proportional to 443.29, 612.08 and 277.80

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Solution

The fourth proportional to 443.29, 612.08 and 277.80 is: 383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.29 : 612.08 = 277.80 : x
  2. Step 2: Convert to fraction form
    443.29/612.08 = 277.80/x
  3. Step 3: Cross multiply
    443.29x = 612.08 × 277.80
  4. Step 4: Simplify right side
    443.29x = 170,034.44
  5. Step 5: Solve for x
    x = 170,034.44/443.29
  6. Step 6: Final answer
    x = 383.58

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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.