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Finding the Fourth Proportional to 554.52, 765.24 and 321.64

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Solution

The fourth proportional to 554.52, 765.24 and 321.64 is: 443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.52 : 765.24 = 321.64 : x
  2. Step 2: Convert to fraction form
    554.52/765.24 = 321.64/x
  3. Step 3: Cross multiply
    554.52x = 765.24 × 321.64
  4. Step 4: Simplify right side
    554.52x = 246,131.79
  5. Step 5: Solve for x
    x = 246,131.79/554.52
  6. Step 6: Final answer
    x = 443.86

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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.