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Finding the Fourth Proportional to 420.32, 580.12 and 321.88

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Solution

The fourth proportional to 420.32, 580.12 and 321.88 is: 444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.32 : 580.12 = 321.88 : x
  2. Step 2: Convert to fraction form
    420.32/580.12 = 321.88/x
  3. Step 3: Cross multiply
    420.32x = 580.12 × 321.88
  4. Step 4: Simplify right side
    420.32x = 186,729.03
  5. Step 5: Solve for x
    x = 186,729.03/420.32
  6. Step 6: Final answer
    x = 444.25

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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.