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Finding the Fourth Proportional to 669.16, 1,003.74 and 258.22

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Solution

The fourth proportional to 669.16, 1,003.74 and 258.22 is: 387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.16 : 1,003.74 = 258.22 : x
  2. Step 2: Convert to fraction form
    669.16/1,003.74 = 258.22/x
  3. Step 3: Cross multiply
    669.16x = 1,003.74 × 258.22
  4. Step 4: Simplify right side
    669.16x = 259,185.74
  5. Step 5: Solve for x
    x = 259,185.74/669.16
  6. Step 6: Final answer
    x = 387.33

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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.