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Finding the Fourth Proportional to 397.18, 547.98 and 266.23

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Solution

The fourth proportional to 397.18, 547.98 and 266.23 is: 367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.18 : 547.98 = 266.23 : x
  2. Step 2: Convert to fraction form
    397.18/547.98 = 266.23/x
  3. Step 3: Cross multiply
    397.18x = 547.98 × 266.23
  4. Step 4: Simplify right side
    397.18x = 145,888.72
  5. Step 5: Solve for x
    x = 145,888.72/397.18
  6. Step 6: Final answer
    x = 367.31

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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.