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Finding the Fourth Proportional to 826.14, 1,238.50 and 332.24

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Solution

The fourth proportional to 826.14, 1,238.50 and 332.24 is: 498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.14 : 1,238.50 = 332.24 : x
  2. Step 2: Convert to fraction form
    826.14/1,238.50 = 332.24/x
  3. Step 3: Cross multiply
    826.14x = 1,238.50 × 332.24
  4. Step 4: Simplify right side
    826.14x = 411,479.24
  5. Step 5: Solve for x
    x = 411,479.24/826.14
  6. Step 6: Final answer
    x = 498.07

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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.