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Finding the Fourth Proportional to 394.81, 544.57 and 262.01

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Solution

The fourth proportional to 394.81, 544.57 and 262.01 is: 361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.81 : 544.57 = 262.01 : x
  2. Step 2: Convert to fraction form
    394.81/544.57 = 262.01/x
  3. Step 3: Cross multiply
    394.81x = 544.57 × 262.01
  4. Step 4: Simplify right side
    394.81x = 142,683.49
  5. Step 5: Solve for x
    x = 142,683.49/394.81
  6. Step 6: Final answer
    x = 361.40

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Why These Related Problems?

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