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Finding the Fourth Proportional to 454.18, 680.82 and 345.64

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Solution

The fourth proportional to 454.18, 680.82 and 345.64 is: 518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.18 : 680.82 = 345.64 : x
  2. Step 2: Convert to fraction form
    454.18/680.82 = 345.64/x
  3. Step 3: Cross multiply
    454.18x = 680.82 × 345.64
  4. Step 4: Simplify right side
    454.18x = 235,318.62
  5. Step 5: Solve for x
    x = 235,318.62/454.18
  6. Step 6: Final answer
    x = 518.12

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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.