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Finding the Fourth Proportional to 397.85, 548.78 and 265.07

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Solution

The fourth proportional to 397.85, 548.78 and 265.07 is: 365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.85 : 548.78 = 265.07 : x
  2. Step 2: Convert to fraction form
    397.85/548.78 = 265.07/x
  3. Step 3: Cross multiply
    397.85x = 548.78 × 265.07
  4. Step 4: Simplify right side
    397.85x = 145,461.05
  5. Step 5: Solve for x
    x = 145,461.05/397.85
  6. Step 6: Final answer
    x = 365.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.