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Finding the Fourth Proportional to 455.64, 682.53 and 238.75

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Solution

The fourth proportional to 455.64, 682.53 and 238.75 is: 357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.64 : 682.53 = 238.75 : x
  2. Step 2: Convert to fraction form
    455.64/682.53 = 238.75/x
  3. Step 3: Cross multiply
    455.64x = 682.53 × 238.75
  4. Step 4: Simplify right side
    455.64x = 162,954.04
  5. Step 5: Solve for x
    x = 162,954.04/455.64
  6. Step 6: Final answer
    x = 357.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.