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Finding the Fourth Proportional to 528.05, 790.32 and 321.60

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Solution

The fourth proportional to 528.05, 790.32 and 321.60 is: 481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.05 : 790.32 = 321.60 : x
  2. Step 2: Convert to fraction form
    528.05/790.32 = 321.60/x
  3. Step 3: Cross multiply
    528.05x = 790.32 × 321.60
  4. Step 4: Simplify right side
    528.05x = 254,171.08
  5. Step 5: Solve for x
    x = 254,171.08/528.05
  6. Step 6: Final answer
    x = 481.34

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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.