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Finding the Fourth Proportional to 420.60, 580.88 and 328.44

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Solution

The fourth proportional to 420.60, 580.88 and 328.44 is: 453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.60 : 580.88 = 328.44 : x
  2. Step 2: Convert to fraction form
    420.60/580.88 = 328.44/x
  3. Step 3: Cross multiply
    420.60x = 580.88 × 328.44
  4. Step 4: Simplify right side
    420.60x = 190,784.23
  5. Step 5: Solve for x
    x = 190,784.23/420.60
  6. Step 6: Final answer
    x = 453.60

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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.