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Finding the Fourth Proportional to 573.14, 859.94 and 378.11

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Solution

The fourth proportional to 573.14, 859.94 and 378.11 is: 567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.14 : 859.94 = 378.11 : x
  2. Step 2: Convert to fraction form
    573.14/859.94 = 378.11/x
  3. Step 3: Cross multiply
    573.14x = 859.94 × 378.11
  4. Step 4: Simplify right side
    573.14x = 325,151.91
  5. Step 5: Solve for x
    x = 325,151.91/573.14
  6. Step 6: Final answer
    x = 567.32

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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.