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Finding the Fourth Proportional to 454.37, 682.16 and 235.17

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Solution

The fourth proportional to 454.37, 682.16 and 235.17 is: 353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.37 : 682.16 = 235.17 : x
  2. Step 2: Convert to fraction form
    454.37/682.16 = 235.17/x
  3. Step 3: Cross multiply
    454.37x = 682.16 × 235.17
  4. Step 4: Simplify right side
    454.37x = 160,422.39
  5. Step 5: Solve for x
    x = 160,422.39/454.37
  6. Step 6: Final answer
    x = 353.07

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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.