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Finding the Fourth Proportional to 443.25, 611.69 and 259.25

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Solution

The fourth proportional to 443.25, 611.69 and 259.25 is: 357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.25 : 611.69 = 259.25 : x
  2. Step 2: Convert to fraction form
    443.25/611.69 = 259.25/x
  3. Step 3: Cross multiply
    443.25x = 611.69 × 259.25
  4. Step 4: Simplify right side
    443.25x = 158,579.34
  5. Step 5: Solve for x
    x = 158,579.34/443.25
  6. Step 6: Final answer
    x = 357.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.