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Finding the Fourth Proportional to 342.71, 472.73 and 287.03

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Solution

The fourth proportional to 342.71, 472.73 and 287.03 is: 395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.71 : 472.73 = 287.03 : x
  2. Step 2: Convert to fraction form
    342.71/472.73 = 287.03/x
  3. Step 3: Cross multiply
    342.71x = 472.73 × 287.03
  4. Step 4: Simplify right side
    342.71x = 135,683.89
  5. Step 5: Solve for x
    x = 135,683.89/342.71
  6. Step 6: Final answer
    x = 395.92

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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.