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Finding the Fourth Proportional to 331.54, 497.04 and 259.72

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Solution

The fourth proportional to 331.54, 497.04 and 259.72 is: 389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.54 : 497.04 = 259.72 : x
  2. Step 2: Convert to fraction form
    331.54/497.04 = 259.72/x
  3. Step 3: Cross multiply
    331.54x = 497.04 × 259.72
  4. Step 4: Simplify right side
    331.54x = 129,091.23
  5. Step 5: Solve for x
    x = 129,091.23/331.54
  6. Step 6: Final answer
    x = 389.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.