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Finding the Fourth Proportional to 669.63, 1,004.29 and 258.63

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Solution

The fourth proportional to 669.63, 1,004.29 and 258.63 is: 387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.63 : 1,004.29 = 258.63 : x
  2. Step 2: Convert to fraction form
    669.63/1,004.29 = 258.63/x
  3. Step 3: Cross multiply
    669.63x = 1,004.29 × 258.63
  4. Step 4: Simplify right side
    669.63x = 259,739.52
  5. Step 5: Solve for x
    x = 259,739.52/669.63
  6. Step 6: Final answer
    x = 387.89

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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.