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Finding the Fourth Proportional to 571.74, 857.79 and 340.89

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Solution

The fourth proportional to 571.74, 857.79 and 340.89 is: 511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.74 : 857.79 = 340.89 : x
  2. Step 2: Convert to fraction form
    571.74/857.79 = 340.89/x
  3. Step 3: Cross multiply
    571.74x = 857.79 × 340.89
  4. Step 4: Simplify right side
    571.74x = 292,408.61
  5. Step 5: Solve for x
    x = 292,408.61/571.74
  6. Step 6: Final answer
    x = 511.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.