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Finding the Fourth Proportional to 577.12, 795 and 506.92

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Solution

The fourth proportional to 577.12, 795 and 506.92 is: 698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.12 : 795 = 506.92 : x
  2. Step 2: Convert to fraction form
    577.12/795 = 506.92/x
  3. Step 3: Cross multiply
    577.12x = 795 × 506.92
  4. Step 4: Simplify right side
    577.12x = 403,001.40
  5. Step 5: Solve for x
    x = 403,001.40/577.12
  6. Step 6: Final answer
    x = 698.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.