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Finding the Fourth Proportional to 420.72, 580.50 and 354.60

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Solution

The fourth proportional to 420.72, 580.50 and 354.60 is: 489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.72 : 580.50 = 354.60 : x
  2. Step 2: Convert to fraction form
    420.72/580.50 = 354.60/x
  3. Step 3: Cross multiply
    420.72x = 580.50 × 354.60
  4. Step 4: Simplify right side
    420.72x = 205,845.30
  5. Step 5: Solve for x
    x = 205,845.30/420.72
  6. Step 6: Final answer
    x = 489.27

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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.