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Finding the Fourth Proportional to 441.60, 662.48 and 258.90

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Solution

The fourth proportional to 441.60, 662.48 and 258.90 is: 388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.60 : 662.48 = 258.90 : x
  2. Step 2: Convert to fraction form
    441.60/662.48 = 258.90/x
  3. Step 3: Cross multiply
    441.60x = 662.48 × 258.90
  4. Step 4: Simplify right side
    441.60x = 171,516.07
  5. Step 5: Solve for x
    x = 171,516.07/441.60
  6. Step 6: Final answer
    x = 388.40

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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.