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Finding the Fourth Proportional to 396.59, 546.60 and 341.10

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Solution

The fourth proportional to 396.59, 546.60 and 341.10 is: 470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.59 : 546.60 = 341.10 : x
  2. Step 2: Convert to fraction form
    396.59/546.60 = 341.10/x
  3. Step 3: Cross multiply
    396.59x = 546.60 × 341.10
  4. Step 4: Simplify right side
    396.59x = 186,445.26
  5. Step 5: Solve for x
    x = 186,445.26/396.59
  6. Step 6: Final answer
    x = 470.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.