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Finding the Fourth Proportional to 571.28, 788.30 and 421.98

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Solution

The fourth proportional to 571.28, 788.30 and 421.98 is: 582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.28 : 788.30 = 421.98 : x
  2. Step 2: Convert to fraction form
    571.28/788.30 = 421.98/x
  3. Step 3: Cross multiply
    571.28x = 788.30 × 421.98
  4. Step 4: Simplify right side
    571.28x = 332,643.35
  5. Step 5: Solve for x
    x = 332,643.35/571.28
  6. Step 6: Final answer
    x = 582.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.