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Finding the Fourth Proportional to 440.86, 609.06 and 293.44

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Solution

The fourth proportional to 440.86, 609.06 and 293.44 is: 405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.86 : 609.06 = 293.44 : x
  2. Step 2: Convert to fraction form
    440.86/609.06 = 293.44/x
  3. Step 3: Cross multiply
    440.86x = 609.06 × 293.44
  4. Step 4: Simplify right side
    440.86x = 178,722.57
  5. Step 5: Solve for x
    x = 178,722.57/440.86
  6. Step 6: Final answer
    x = 405.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.