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Finding the Fourth Proportional to 577.22, 795.29 and 380.39

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Solution

The fourth proportional to 577.22, 795.29 and 380.39 is: 524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.22 : 795.29 = 380.39 : x
  2. Step 2: Convert to fraction form
    577.22/795.29 = 380.39/x
  3. Step 3: Cross multiply
    577.22x = 795.29 × 380.39
  4. Step 4: Simplify right side
    577.22x = 302,514.48
  5. Step 5: Solve for x
    x = 302,514.48/577.22
  6. Step 6: Final answer
    x = 524.09

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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.