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Finding the Fourth Proportional to 419.96, 580.50 and 322.16

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Solution

The fourth proportional to 419.96, 580.50 and 322.16 is: 445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.96 : 580.50 = 322.16 : x
  2. Step 2: Convert to fraction form
    419.96/580.50 = 322.16/x
  3. Step 3: Cross multiply
    419.96x = 580.50 × 322.16
  4. Step 4: Simplify right side
    419.96x = 187,013.88
  5. Step 5: Solve for x
    x = 187,013.88/419.96
  6. Step 6: Final answer
    x = 445.31

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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.