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Finding the Fourth Proportional to 397.48, 548.71 and 264.92

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Solution

The fourth proportional to 397.48, 548.71 and 264.92 is: 365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.48 : 548.71 = 264.92 : x
  2. Step 2: Convert to fraction form
    397.48/548.71 = 264.92/x
  3. Step 3: Cross multiply
    397.48x = 548.71 × 264.92
  4. Step 4: Simplify right side
    397.48x = 145,364.25
  5. Step 5: Solve for x
    x = 145,364.25/397.48
  6. Step 6: Final answer
    x = 365.71

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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.