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Finding the Fourth Proportional to 450.68, 622.06 and 264.20

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Solution

The fourth proportional to 450.68, 622.06 and 264.20 is: 364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.68 : 622.06 = 264.20 : x
  2. Step 2: Convert to fraction form
    450.68/622.06 = 264.20/x
  3. Step 3: Cross multiply
    450.68x = 622.06 × 264.20
  4. Step 4: Simplify right side
    450.68x = 164,348.25
  5. Step 5: Solve for x
    x = 164,348.25/450.68
  6. Step 6: Final answer
    x = 364.67

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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.