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Finding the Fourth Proportional to 441.48, 609.66 and 286.52

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Solution

The fourth proportional to 441.48, 609.66 and 286.52 is: 395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.48 : 609.66 = 286.52 : x
  2. Step 2: Convert to fraction form
    441.48/609.66 = 286.52/x
  3. Step 3: Cross multiply
    441.48x = 609.66 × 286.52
  4. Step 4: Simplify right side
    441.48x = 174,679.78
  5. Step 5: Solve for x
    x = 174,679.78/441.48
  6. Step 6: Final answer
    x = 395.67

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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.