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Finding the Fourth Proportional to 577.09, 796.14 and 355.90

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Solution

The fourth proportional to 577.09, 796.14 and 355.90 is: 490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.09 : 796.14 = 355.90 : x
  2. Step 2: Convert to fraction form
    577.09/796.14 = 355.90/x
  3. Step 3: Cross multiply
    577.09x = 796.14 × 355.90
  4. Step 4: Simplify right side
    577.09x = 283,346.23
  5. Step 5: Solve for x
    x = 283,346.23/577.09
  6. Step 6: Final answer
    x = 490.99

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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.