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Finding the Fourth Proportional to 669.32, 1,004.34 and 258.74

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Solution

The fourth proportional to 669.32, 1,004.34 and 258.74 is: 388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.32 : 1,004.34 = 258.74 : x
  2. Step 2: Convert to fraction form
    669.32/1,004.34 = 258.74/x
  3. Step 3: Cross multiply
    669.32x = 1,004.34 × 258.74
  4. Step 4: Simplify right side
    669.32x = 259,862.93
  5. Step 5: Solve for x
    x = 259,862.93/669.32
  6. Step 6: Final answer
    x = 388.25

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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.