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Finding the Fourth Proportional to 577.18, 796.39 and 446.77

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Solution

The fourth proportional to 577.18, 796.39 and 446.77 is: 616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.18 : 796.39 = 446.77 : x
  2. Step 2: Convert to fraction form
    577.18/796.39 = 446.77/x
  3. Step 3: Cross multiply
    577.18x = 796.39 × 446.77
  4. Step 4: Simplify right side
    577.18x = 355,803.16
  5. Step 5: Solve for x
    x = 355,803.16/577.18
  6. Step 6: Final answer
    x = 616.45

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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.