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Finding the Fourth Proportional to 577.53, 796.99 and 412.03

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Solution

The fourth proportional to 577.53, 796.99 and 412.03 is: 568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.53 : 796.99 = 412.03 : x
  2. Step 2: Convert to fraction form
    577.53/796.99 = 412.03/x
  3. Step 3: Cross multiply
    577.53x = 796.99 × 412.03
  4. Step 4: Simplify right side
    577.53x = 328,377.74
  5. Step 5: Solve for x
    x = 328,377.74/577.53
  6. Step 6: Final answer
    x = 568.59

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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.