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Finding the Fourth Proportional to 293.96, 440.52 and 285.20

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Solution

The fourth proportional to 293.96, 440.52 and 285.20 is: 427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.96 : 440.52 = 285.20 : x
  2. Step 2: Convert to fraction form
    293.96/440.52 = 285.20/x
  3. Step 3: Cross multiply
    293.96x = 440.52 × 285.20
  4. Step 4: Simplify right side
    293.96x = 125,636.30
  5. Step 5: Solve for x
    x = 125,636.30/293.96
  6. Step 6: Final answer
    x = 427.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.