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Finding the Fourth Proportional to 577.42, 796.82 and 356.34

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Solution

The fourth proportional to 577.42, 796.82 and 356.34 is: 491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.42 : 796.82 = 356.34 : x
  2. Step 2: Convert to fraction form
    577.42/796.82 = 356.34/x
  3. Step 3: Cross multiply
    577.42x = 796.82 × 356.34
  4. Step 4: Simplify right side
    577.42x = 283,938.84
  5. Step 5: Solve for x
    x = 283,938.84/577.42
  6. Step 6: Final answer
    x = 491.74

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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.