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Finding the Fourth Proportional to 383.86, 578.62 and 361.56

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Solution

The fourth proportional to 383.86, 578.62 and 361.56 is: 545.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.86 : 578.62 = 361.56 : x
  2. Step 2: Convert to fraction form
    383.86/578.62 = 361.56/x
  3. Step 3: Cross multiply
    383.86x = 578.62 × 361.56
  4. Step 4: Simplify right side
    383.86x = 209,205.85
  5. Step 5: Solve for x
    x = 209,205.85/383.86
  6. Step 6: Final answer
    x = 545.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.