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Finding the Fourth Proportional to 325.72, 448.74 and 209.08

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Solution

The fourth proportional to 325.72, 448.74 and 209.08 is: 288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.72 : 448.74 = 209.08 : x
  2. Step 2: Convert to fraction form
    325.72/448.74 = 209.08/x
  3. Step 3: Cross multiply
    325.72x = 448.74 × 209.08
  4. Step 4: Simplify right side
    325.72x = 93,822.56
  5. Step 5: Solve for x
    x = 93,822.56/325.72
  6. Step 6: Final answer
    x = 288.05

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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.