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Finding the Fourth Proportional to 577.35, 796.71 and 321.79

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Solution

The fourth proportional to 577.35, 796.71 and 321.79 is: 444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.35 : 796.71 = 321.79 : x
  2. Step 2: Convert to fraction form
    577.35/796.71 = 321.79/x
  3. Step 3: Cross multiply
    577.35x = 796.71 × 321.79
  4. Step 4: Simplify right side
    577.35x = 256,373.31
  5. Step 5: Solve for x
    x = 256,373.31/577.35
  6. Step 6: Final answer
    x = 444.05

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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.