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Finding the Fourth Proportional to 443.96, 612.72 and 278.36

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Solution

The fourth proportional to 443.96, 612.72 and 278.36 is: 384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.96 : 612.72 = 278.36 : x
  2. Step 2: Convert to fraction form
    443.96/612.72 = 278.36/x
  3. Step 3: Cross multiply
    443.96x = 612.72 × 278.36
  4. Step 4: Simplify right side
    443.96x = 170,556.74
  5. Step 5: Solve for x
    x = 170,556.74/443.96
  6. Step 6: Final answer
    x = 384.17

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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.