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Finding the Fourth Proportional to 577.80, 796.66 and 452.36

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Solution

The fourth proportional to 577.80, 796.66 and 452.36 is: 623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.80 : 796.66 = 452.36 : x
  2. Step 2: Convert to fraction form
    577.80/796.66 = 452.36/x
  3. Step 3: Cross multiply
    577.80x = 796.66 × 452.36
  4. Step 4: Simplify right side
    577.80x = 360,377.12
  5. Step 5: Solve for x
    x = 360,377.12/577.80
  6. Step 6: Final answer
    x = 623.71

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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.