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Finding the Fourth Proportional to 573.08, 857.78 and 378.25

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Solution

The fourth proportional to 573.08, 857.78 and 378.25 is: 566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.08 : 857.78 = 378.25 : x
  2. Step 2: Convert to fraction form
    573.08/857.78 = 378.25/x
  3. Step 3: Cross multiply
    573.08x = 857.78 × 378.25
  4. Step 4: Simplify right side
    573.08x = 324,455.29
  5. Step 5: Solve for x
    x = 324,455.29/573.08
  6. Step 6: Final answer
    x = 566.16

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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.