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Finding the Fourth Proportional to 574.01, 860.73 and 378.99

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Solution

The fourth proportional to 574.01, 860.73 and 378.99 is: 568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.01 : 860.73 = 378.99 : x
  2. Step 2: Convert to fraction form
    574.01/860.73 = 378.99/x
  3. Step 3: Cross multiply
    574.01x = 860.73 × 378.99
  4. Step 4: Simplify right side
    574.01x = 326,208.06
  5. Step 5: Solve for x
    x = 326,208.06/574.01
  6. Step 6: Final answer
    x = 568.30

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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.