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Finding the Fourth Proportional to 669.56, 1,004.24 and 258.65

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Solution

The fourth proportional to 669.56, 1,004.24 and 258.65 is: 387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.56 : 1,004.24 = 258.65 : x
  2. Step 2: Convert to fraction form
    669.56/1,004.24 = 258.65/x
  3. Step 3: Cross multiply
    669.56x = 1,004.24 × 258.65
  4. Step 4: Simplify right side
    669.56x = 259,744.13
  5. Step 5: Solve for x
    x = 259,744.13/669.56
  6. Step 6: Final answer
    x = 387.93

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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.