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Finding the Fourth Proportional to 577.97, 798.04 and 378.87

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Solution

The fourth proportional to 577.97, 798.04 and 378.87 is: 523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.97 : 798.04 = 378.87 : x
  2. Step 2: Convert to fraction form
    577.97/798.04 = 378.87/x
  3. Step 3: Cross multiply
    577.97x = 798.04 × 378.87
  4. Step 4: Simplify right side
    577.97x = 302,353.41
  5. Step 5: Solve for x
    x = 302,353.41/577.97
  6. Step 6: Final answer
    x = 523.13

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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.