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Finding the Fourth Proportional to 420.53, 580.37 and 234.08

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Solution

The fourth proportional to 420.53, 580.37 and 234.08 is: 323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.53 : 580.37 = 234.08 : x
  2. Step 2: Convert to fraction form
    420.53/580.37 = 234.08/x
  3. Step 3: Cross multiply
    420.53x = 580.37 × 234.08
  4. Step 4: Simplify right side
    420.53x = 135,848.94
  5. Step 5: Solve for x
    x = 135,848.94/420.53
  6. Step 6: Final answer
    x = 323.05

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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.