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Finding the Fourth Proportional to 571.06, 788.09 and 349.98

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Solution

The fourth proportional to 571.06, 788.09 and 349.98 is: 482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.06 : 788.09 = 349.98 : x
  2. Step 2: Convert to fraction form
    571.06/788.09 = 349.98/x
  3. Step 3: Cross multiply
    571.06x = 788.09 × 349.98
  4. Step 4: Simplify right side
    571.06x = 275,815.74
  5. Step 5: Solve for x
    x = 275,815.74/571.06
  6. Step 6: Final answer
    x = 482.99

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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.