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Finding the Fourth Proportional to 397.92, 549.32 and 325.02

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Solution

The fourth proportional to 397.92, 549.32 and 325.02 is: 448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.92 : 549.32 = 325.02 : x
  2. Step 2: Convert to fraction form
    397.92/549.32 = 325.02/x
  3. Step 3: Cross multiply
    397.92x = 549.32 × 325.02
  4. Step 4: Simplify right side
    397.92x = 178,538.36
  5. Step 5: Solve for x
    x = 178,538.36/397.92
  6. Step 6: Final answer
    x = 448.68

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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.