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Finding the Fourth Proportional to 420.65, 579.84 and 331.97

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Solution

The fourth proportional to 420.65, 579.84 and 331.97 is: 457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.65 : 579.84 = 331.97 : x
  2. Step 2: Convert to fraction form
    420.65/579.84 = 331.97/x
  3. Step 3: Cross multiply
    420.65x = 579.84 × 331.97
  4. Step 4: Simplify right side
    420.65x = 192,486.59
  5. Step 5: Solve for x
    x = 192,486.59/420.65
  6. Step 6: Final answer
    x = 457.60

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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.