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Finding the Fourth Proportional to 577.22, 796.58 and 380.58

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Solution

The fourth proportional to 577.22, 796.58 and 380.58 is: 525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.22 : 796.58 = 380.58 : x
  2. Step 2: Convert to fraction form
    577.22/796.58 = 380.58/x
  3. Step 3: Cross multiply
    577.22x = 796.58 × 380.58
  4. Step 4: Simplify right side
    577.22x = 303,160.51
  5. Step 5: Solve for x
    x = 303,160.51/577.22
  6. Step 6: Final answer
    x = 525.21

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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.