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Finding the Fourth Proportional to 573.48, 859.74 and 381

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Solution

The fourth proportional to 573.48, 859.74 and 381 is: 571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.48 : 859.74 = 381 : x
  2. Step 2: Convert to fraction form
    573.48/859.74 = 381/x
  3. Step 3: Cross multiply
    573.48x = 859.74 × 381
  4. Step 4: Simplify right side
    573.48x = 327,560.94
  5. Step 5: Solve for x
    x = 327,560.94/573.48
  6. Step 6: Final answer
    x = 571.18

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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.