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Finding the Fourth Proportional to 397.68, 548.28 and 381.84

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Solution

The fourth proportional to 397.68, 548.28 and 381.84 is: 526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.68 : 548.28 = 381.84 : x
  2. Step 2: Convert to fraction form
    397.68/548.28 = 381.84/x
  3. Step 3: Cross multiply
    397.68x = 548.28 × 381.84
  4. Step 4: Simplify right side
    397.68x = 209,355.24
  5. Step 5: Solve for x
    x = 209,355.24/397.68
  6. Step 6: Final answer
    x = 526.44

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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.