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Finding the Fourth Proportional to 910.22, 1,365.42 and 293.77

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Solution

The fourth proportional to 910.22, 1,365.42 and 293.77 is: 440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.22 : 1,365.42 = 293.77 : x
  2. Step 2: Convert to fraction form
    910.22/1,365.42 = 293.77/x
  3. Step 3: Cross multiply
    910.22x = 1,365.42 × 293.77
  4. Step 4: Simplify right side
    910.22x = 401,119.43
  5. Step 5: Solve for x
    x = 401,119.43/910.22
  6. Step 6: Final answer
    x = 440.68

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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.