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Finding the Fourth Proportional to 493.62, 681.18 and 325.36

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Solution

The fourth proportional to 493.62, 681.18 and 325.36 is: 448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.62 : 681.18 = 325.36 : x
  2. Step 2: Convert to fraction form
    493.62/681.18 = 325.36/x
  3. Step 3: Cross multiply
    493.62x = 681.18 × 325.36
  4. Step 4: Simplify right side
    493.62x = 221,630.96
  5. Step 5: Solve for x
    x = 221,630.96/493.62
  6. Step 6: Final answer
    x = 448.99

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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.