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Finding the Fourth Proportional to 448.06, 617.58 and 323.54

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Solution

The fourth proportional to 448.06, 617.58 and 323.54 is: 445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.06 : 617.58 = 323.54 : x
  2. Step 2: Convert to fraction form
    448.06/617.58 = 323.54/x
  3. Step 3: Cross multiply
    448.06x = 617.58 × 323.54
  4. Step 4: Simplify right side
    448.06x = 199,811.83
  5. Step 5: Solve for x
    x = 199,811.83/448.06
  6. Step 6: Final answer
    x = 445.95

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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.