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Finding the Fourth Proportional to 420.81, 580.76 and 246.26

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Solution

The fourth proportional to 420.81, 580.76 and 246.26 is: 339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.81 : 580.76 = 246.26 : x
  2. Step 2: Convert to fraction form
    420.81/580.76 = 246.26/x
  3. Step 3: Cross multiply
    420.81x = 580.76 × 246.26
  4. Step 4: Simplify right side
    420.81x = 143,013.82
  5. Step 5: Solve for x
    x = 143,013.82/420.81
  6. Step 6: Final answer
    x = 339.85

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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.