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Finding the Fourth Proportional to 571.88, 789.12 and 323.24

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Solution

The fourth proportional to 571.88, 789.12 and 323.24 is: 446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.88 : 789.12 = 323.24 : x
  2. Step 2: Convert to fraction form
    571.88/789.12 = 323.24/x
  3. Step 3: Cross multiply
    571.88x = 789.12 × 323.24
  4. Step 4: Simplify right side
    571.88x = 255,075.15
  5. Step 5: Solve for x
    x = 255,075.15/571.88
  6. Step 6: Final answer
    x = 446.03

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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.