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Finding the Fourth Proportional to 571.07, 788.07 and 322.43

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Solution

The fourth proportional to 571.07, 788.07 and 322.43 is: 444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.07 : 788.07 = 322.43 : x
  2. Step 2: Convert to fraction form
    571.07/788.07 = 322.43/x
  3. Step 3: Cross multiply
    571.07x = 788.07 × 322.43
  4. Step 4: Simplify right side
    571.07x = 254,093.47
  5. Step 5: Solve for x
    x = 254,093.47/571.07
  6. Step 6: Final answer
    x = 444.94

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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.