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Finding the Fourth Proportional to 577.72, 797.27 and 381.08

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Solution

The fourth proportional to 577.72, 797.27 and 381.08 is: 525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.72 : 797.27 = 381.08 : x
  2. Step 2: Convert to fraction form
    577.72/797.27 = 381.08/x
  3. Step 3: Cross multiply
    577.72x = 797.27 × 381.08
  4. Step 4: Simplify right side
    577.72x = 303,821.75
  5. Step 5: Solve for x
    x = 303,821.75/577.72
  6. Step 6: Final answer
    x = 525.90

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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.