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Finding the Fourth Proportional to 554.50, 765.25 and 321.64

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Solution

The fourth proportional to 554.50, 765.25 and 321.64 is: 443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.50 : 765.25 = 321.64 : x
  2. Step 2: Convert to fraction form
    554.50/765.25 = 321.64/x
  3. Step 3: Cross multiply
    554.50x = 765.25 × 321.64
  4. Step 4: Simplify right side
    554.50x = 246,135.01
  5. Step 5: Solve for x
    x = 246,135.01/554.50
  6. Step 6: Final answer
    x = 443.89

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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.