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Finding the Fourth Proportional to 494.65, 682.64 and 328.58

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Solution

The fourth proportional to 494.65, 682.64 and 328.58 is: 453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.65 : 682.64 = 328.58 : x
  2. Step 2: Convert to fraction form
    494.65/682.64 = 328.58/x
  3. Step 3: Cross multiply
    494.65x = 682.64 × 328.58
  4. Step 4: Simplify right side
    494.65x = 224,301.85
  5. Step 5: Solve for x
    x = 224,301.85/494.65
  6. Step 6: Final answer
    x = 453.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.