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Finding the Fourth Proportional to 441.61, 609.54 and 266.96

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Solution

The fourth proportional to 441.61, 609.54 and 266.96 is: 368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.61 : 609.54 = 266.96 : x
  2. Step 2: Convert to fraction form
    441.61/609.54 = 266.96/x
  3. Step 3: Cross multiply
    441.61x = 609.54 × 266.96
  4. Step 4: Simplify right side
    441.61x = 162,722.80
  5. Step 5: Solve for x
    x = 162,722.80/441.61
  6. Step 6: Final answer
    x = 368.48

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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.