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Finding the Fourth Proportional to 455.52, 682.64 and 238.66

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Solution

The fourth proportional to 455.52, 682.64 and 238.66 is: 357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.52 : 682.64 = 238.66 : x
  2. Step 2: Convert to fraction form
    455.52/682.64 = 238.66/x
  3. Step 3: Cross multiply
    455.52x = 682.64 × 238.66
  4. Step 4: Simplify right side
    455.52x = 162,918.86
  5. Step 5: Solve for x
    x = 162,918.86/455.52
  6. Step 6: Final answer
    x = 357.65

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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.