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Finding the Fourth Proportional to 420.63, 580.80 and 321.24

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Solution

The fourth proportional to 420.63, 580.80 and 321.24 is: 443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.63 : 580.80 = 321.24 : x
  2. Step 2: Convert to fraction form
    420.63/580.80 = 321.24/x
  3. Step 3: Cross multiply
    420.63x = 580.80 × 321.24
  4. Step 4: Simplify right side
    420.63x = 186,576.19
  5. Step 5: Solve for x
    x = 186,576.19/420.63
  6. Step 6: Final answer
    x = 443.56

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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.