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Finding the Fourth Proportional to 382.86, 577.12 and 360.56

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Solution

The fourth proportional to 382.86, 577.12 and 360.56 is: 543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.86 : 577.12 = 360.56 : x
  2. Step 2: Convert to fraction form
    382.86/577.12 = 360.56/x
  3. Step 3: Cross multiply
    382.86x = 577.12 × 360.56
  4. Step 4: Simplify right side
    382.86x = 208,086.93
  5. Step 5: Solve for x
    x = 208,086.93/382.86
  6. Step 6: Final answer
    x = 543.51

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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.