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Finding the Fourth Proportional to 577.22, 796.52 and 356.10

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Solution

The fourth proportional to 577.22, 796.52 and 356.10 is: 491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.22 : 796.52 = 356.10 : x
  2. Step 2: Convert to fraction form
    577.22/796.52 = 356.10/x
  3. Step 3: Cross multiply
    577.22x = 796.52 × 356.10
  4. Step 4: Simplify right side
    577.22x = 283,640.77
  5. Step 5: Solve for x
    x = 283,640.77/577.22
  6. Step 6: Final answer
    x = 491.39

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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.