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Finding the Fourth Proportional to 669.34, 1,003.91 and 258.42

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Solution

The fourth proportional to 669.34, 1,003.91 and 258.42 is: 387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.34 : 1,003.91 = 258.42 : x
  2. Step 2: Convert to fraction form
    669.34/1,003.91 = 258.42/x
  3. Step 3: Cross multiply
    669.34x = 1,003.91 × 258.42
  4. Step 4: Simplify right side
    669.34x = 259,430.42
  5. Step 5: Solve for x
    x = 259,430.42/669.34
  6. Step 6: Final answer
    x = 387.59

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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.