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Finding the Fourth Proportional to 506.54, 698.43 and 326.85

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Solution

The fourth proportional to 506.54, 698.43 and 326.85 is: 450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.54 : 698.43 = 326.85 : x
  2. Step 2: Convert to fraction form
    506.54/698.43 = 326.85/x
  3. Step 3: Cross multiply
    506.54x = 698.43 × 326.85
  4. Step 4: Simplify right side
    506.54x = 228,281.85
  5. Step 5: Solve for x
    x = 228,281.85/506.54
  6. Step 6: Final answer
    x = 450.67

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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.