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Finding the Fourth Proportional to 420.75, 580.33 and 342.06

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Solution

The fourth proportional to 420.75, 580.33 and 342.06 is: 471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.75 : 580.33 = 342.06 : x
  2. Step 2: Convert to fraction form
    420.75/580.33 = 342.06/x
  3. Step 3: Cross multiply
    420.75x = 580.33 × 342.06
  4. Step 4: Simplify right side
    420.75x = 198,507.68
  5. Step 5: Solve for x
    x = 198,507.68/420.75
  6. Step 6: Final answer
    x = 471.79

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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.