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Finding the Fourth Proportional to 450.21, 674.27 and 346.67

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Solution

The fourth proportional to 450.21, 674.27 and 346.67 is: 519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.21 : 674.27 = 346.67 : x
  2. Step 2: Convert to fraction form
    450.21/674.27 = 346.67/x
  3. Step 3: Cross multiply
    450.21x = 674.27 × 346.67
  4. Step 4: Simplify right side
    450.21x = 233,749.13
  5. Step 5: Solve for x
    x = 233,749.13/450.21
  6. Step 6: Final answer
    x = 519.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.