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Finding the Fourth Proportional to 577.25, 796.58 and 315.27

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Solution

The fourth proportional to 577.25, 796.58 and 315.27 is: 435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.25 : 796.58 = 315.27 : x
  2. Step 2: Convert to fraction form
    577.25/796.58 = 315.27/x
  3. Step 3: Cross multiply
    577.25x = 796.58 × 315.27
  4. Step 4: Simplify right side
    577.25x = 251,136.20
  5. Step 5: Solve for x
    x = 251,136.20/577.25
  6. Step 6: Final answer
    x = 435.06

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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.