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Finding the Fourth Proportional to 293.97, 407.58 and 283.98

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Solution

The fourth proportional to 293.97, 407.58 and 283.98 is: 393.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.97 : 407.58 = 283.98 : x
  2. Step 2: Convert to fraction form
    293.97/407.58 = 283.98/x
  3. Step 3: Cross multiply
    293.97x = 407.58 × 283.98
  4. Step 4: Simplify right side
    293.97x = 115,744.57
  5. Step 5: Solve for x
    x = 115,744.57/293.97
  6. Step 6: Final answer
    x = 393.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.