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Finding the Fourth Proportional to 293.15, 401.98 and 283.32

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Solution

The fourth proportional to 293.15, 401.98 and 283.32 is: 388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.15 : 401.98 = 283.32 : x
  2. Step 2: Convert to fraction form
    293.15/401.98 = 283.32/x
  3. Step 3: Cross multiply
    293.15x = 401.98 × 283.32
  4. Step 4: Simplify right side
    293.15x = 113,890.78
  5. Step 5: Solve for x
    x = 113,890.78/293.15
  6. Step 6: Final answer
    x = 388.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.