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Finding the Fourth Proportional to 825.58, 1,238.45 and 305.72

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Solution

The fourth proportional to 825.58, 1,238.45 and 305.72 is: 458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.58 : 1,238.45 = 305.72 : x
  2. Step 2: Convert to fraction form
    825.58/1,238.45 = 305.72/x
  3. Step 3: Cross multiply
    825.58x = 1,238.45 × 305.72
  4. Step 4: Simplify right side
    825.58x = 378,618.93
  5. Step 5: Solve for x
    x = 378,618.93/825.58
  6. Step 6: Final answer
    x = 458.61

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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.