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Finding the Fourth Proportional to 375.34, 518.11 and 322.67

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Solution

The fourth proportional to 375.34, 518.11 and 322.67 is: 445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.34 : 518.11 = 322.67 : x
  2. Step 2: Convert to fraction form
    375.34/518.11 = 322.67/x
  3. Step 3: Cross multiply
    375.34x = 518.11 × 322.67
  4. Step 4: Simplify right side
    375.34x = 167,176.94
  5. Step 5: Solve for x
    x = 167,176.94/375.34
  6. Step 6: Final answer
    x = 445.41

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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.