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Finding the Fourth Proportional to 395.88, 597.36 and 380.88

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Solution

The fourth proportional to 395.88, 597.36 and 380.88 is: 574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.88 : 597.36 = 380.88 : x
  2. Step 2: Convert to fraction form
    395.88/597.36 = 380.88/x
  3. Step 3: Cross multiply
    395.88x = 597.36 × 380.88
  4. Step 4: Simplify right side
    395.88x = 227,522.48
  5. Step 5: Solve for x
    x = 227,522.48/395.88
  6. Step 6: Final answer
    x = 574.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.