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Finding the Fourth Proportional to 577.40, 796.50 and 344.36

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Solution

The fourth proportional to 577.40, 796.50 and 344.36 is: 475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.40 : 796.50 = 344.36 : x
  2. Step 2: Convert to fraction form
    577.40/796.50 = 344.36/x
  3. Step 3: Cross multiply
    577.40x = 796.50 × 344.36
  4. Step 4: Simplify right side
    577.40x = 274,282.74
  5. Step 5: Solve for x
    x = 274,282.74/577.40
  6. Step 6: Final answer
    x = 475.03

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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.