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Finding the Fourth Proportional to 420.06, 579.73 and 280.12

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Solution

The fourth proportional to 420.06, 579.73 and 280.12 is: 386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.06 : 579.73 = 280.12 : x
  2. Step 2: Convert to fraction form
    420.06/579.73 = 280.12/x
  3. Step 3: Cross multiply
    420.06x = 579.73 × 280.12
  4. Step 4: Simplify right side
    420.06x = 162,395.09
  5. Step 5: Solve for x
    x = 162,395.09/420.06
  6. Step 6: Final answer
    x = 386.60

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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.