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Finding the Fourth Proportional to 395.34, 591.60 and 251.16

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Solution

The fourth proportional to 395.34, 591.60 and 251.16 is: 375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.34 : 591.60 = 251.16 : x
  2. Step 2: Convert to fraction form
    395.34/591.60 = 251.16/x
  3. Step 3: Cross multiply
    395.34x = 591.60 × 251.16
  4. Step 4: Simplify right side
    395.34x = 148,586.26
  5. Step 5: Solve for x
    x = 148,586.26/395.34
  6. Step 6: Final answer
    x = 375.84

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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.