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Finding the Fourth Proportional to 577.13, 796.74 and 402.77

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Solution

The fourth proportional to 577.13, 796.74 and 402.77 is: 556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.13 : 796.74 = 402.77 : x
  2. Step 2: Convert to fraction form
    577.13/796.74 = 402.77/x
  3. Step 3: Cross multiply
    577.13x = 796.74 × 402.77
  4. Step 4: Simplify right side
    577.13x = 320,903.45
  5. Step 5: Solve for x
    x = 320,903.45/577.13
  6. Step 6: Final answer
    x = 556.04

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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.