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Finding the Fourth Proportional to 397.72, 548.94 and 266.80

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Solution

The fourth proportional to 397.72, 548.94 and 266.80 is: 368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.72 : 548.94 = 266.80 : x
  2. Step 2: Convert to fraction form
    397.72/548.94 = 266.80/x
  3. Step 3: Cross multiply
    397.72x = 548.94 × 266.80
  4. Step 4: Simplify right side
    397.72x = 146,457.19
  5. Step 5: Solve for x
    x = 146,457.19/397.72
  6. Step 6: Final answer
    x = 368.24

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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.