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Finding the Fourth Proportional to 577.16, 796.10 and 402.28

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Solution

The fourth proportional to 577.16, 796.10 and 402.28 is: 554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.16 : 796.10 = 402.28 : x
  2. Step 2: Convert to fraction form
    577.16/796.10 = 402.28/x
  3. Step 3: Cross multiply
    577.16x = 796.10 × 402.28
  4. Step 4: Simplify right side
    577.16x = 320,255.11
  5. Step 5: Solve for x
    x = 320,255.11/577.16
  6. Step 6: Final answer
    x = 554.88

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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.