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Finding the Fourth Proportional to 571.44, 788.96 and 438.42

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Solution

The fourth proportional to 571.44, 788.96 and 438.42 is: 605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.44 : 788.96 = 438.42 : x
  2. Step 2: Convert to fraction form
    571.44/788.96 = 438.42/x
  3. Step 3: Cross multiply
    571.44x = 788.96 × 438.42
  4. Step 4: Simplify right side
    571.44x = 345,895.84
  5. Step 5: Solve for x
    x = 345,895.84/571.44
  6. Step 6: Final answer
    x = 605.31

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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.