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Finding the Fourth Proportional to 379.89, 524.43 and 261.99

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Solution

The fourth proportional to 379.89, 524.43 and 261.99 is: 361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.89 : 524.43 = 261.99 : x
  2. Step 2: Convert to fraction form
    379.89/524.43 = 261.99/x
  3. Step 3: Cross multiply
    379.89x = 524.43 × 261.99
  4. Step 4: Simplify right side
    379.89x = 137,395.42
  5. Step 5: Solve for x
    x = 137,395.42/379.89
  6. Step 6: Final answer
    x = 361.67

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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.