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Finding the Fourth Proportional to 420.71, 580.58 and 234.20

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Solution

The fourth proportional to 420.71, 580.58 and 234.20 is: 323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.71 : 580.58 = 234.20 : x
  2. Step 2: Convert to fraction form
    420.71/580.58 = 234.20/x
  3. Step 3: Cross multiply
    420.71x = 580.58 × 234.20
  4. Step 4: Simplify right side
    420.71x = 135,967.76
  5. Step 5: Solve for x
    x = 135,967.76/420.71
  6. Step 6: Final answer
    x = 323.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.