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Finding the Fourth Proportional to 577.46, 796.93 and 380.83

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Solution

The fourth proportional to 577.46, 796.93 and 380.83 is: 525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.46 : 796.93 = 380.83 : x
  2. Step 2: Convert to fraction form
    577.46/796.93 = 380.83/x
  3. Step 3: Cross multiply
    577.46x = 796.93 × 380.83
  4. Step 4: Simplify right side
    577.46x = 303,492.95
  5. Step 5: Solve for x
    x = 303,492.95/577.46
  6. Step 6: Final answer
    x = 525.57

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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.