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Finding the Fourth Proportional to 364.33, 548.50 and 321.25

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Solution

The fourth proportional to 364.33, 548.50 and 321.25 is: 483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.33 : 548.50 = 321.25 : x
  2. Step 2: Convert to fraction form
    364.33/548.50 = 321.25/x
  3. Step 3: Cross multiply
    364.33x = 548.50 × 321.25
  4. Step 4: Simplify right side
    364.33x = 176,202.88
  5. Step 5: Solve for x
    x = 176,202.88/364.33
  6. Step 6: Final answer
    x = 483.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.