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Finding the Fourth Proportional to 293.02, 441.15 and 263.25

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Solution

The fourth proportional to 293.02, 441.15 and 263.25 is: 396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.02 : 441.15 = 263.25 : x
  2. Step 2: Convert to fraction form
    293.02/441.15 = 263.25/x
  3. Step 3: Cross multiply
    293.02x = 441.15 × 263.25
  4. Step 4: Simplify right side
    293.02x = 116,131.75
  5. Step 5: Solve for x
    x = 116,131.75/293.02
  6. Step 6: Final answer
    x = 396.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.