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Finding the Fourth Proportional to 420.89, 580.76 and 234.33

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Solution

The fourth proportional to 420.89, 580.76 and 234.33 is: 323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.89 : 580.76 = 234.33 : x
  2. Step 2: Convert to fraction form
    420.89/580.76 = 234.33/x
  3. Step 3: Cross multiply
    420.89x = 580.76 × 234.33
  4. Step 4: Simplify right side
    420.89x = 136,088.32
  5. Step 5: Solve for x
    x = 136,088.32/420.89
  6. Step 6: Final answer
    x = 323.34

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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.