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Finding the Fourth Proportional to 397.47, 548.54 and 299.05

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Solution

The fourth proportional to 397.47, 548.54 and 299.05 is: 412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.47 : 548.54 = 299.05 : x
  2. Step 2: Convert to fraction form
    397.47/548.54 = 299.05/x
  3. Step 3: Cross multiply
    397.47x = 548.54 × 299.05
  4. Step 4: Simplify right side
    397.47x = 164,040.89
  5. Step 5: Solve for x
    x = 164,040.89/397.47
  6. Step 6: Final answer
    x = 412.71

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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.