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Finding the Fourth Proportional to 443.60, 612.06 and 266.48

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Solution

The fourth proportional to 443.60, 612.06 and 266.48 is: 367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.60 : 612.06 = 266.48 : x
  2. Step 2: Convert to fraction form
    443.60/612.06 = 266.48/x
  3. Step 3: Cross multiply
    443.60x = 612.06 × 266.48
  4. Step 4: Simplify right side
    443.60x = 163,098.69
  5. Step 5: Solve for x
    x = 163,098.69/443.60
  6. Step 6: Final answer
    x = 367.67

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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.