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Finding the Fourth Proportional to 443.69, 612.14 and 286.31

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Solution

The fourth proportional to 443.69, 612.14 and 286.31 is: 395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.69 : 612.14 = 286.31 : x
  2. Step 2: Convert to fraction form
    443.69/612.14 = 286.31/x
  3. Step 3: Cross multiply
    443.69x = 612.14 × 286.31
  4. Step 4: Simplify right side
    443.69x = 175,261.80
  5. Step 5: Solve for x
    x = 175,261.80/443.69
  6. Step 6: Final answer
    x = 395.01

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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.