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Finding the Fourth Proportional to 435.36, 600.78 and 280.11

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Solution

The fourth proportional to 435.36, 600.78 and 280.11 is: 386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.36 : 600.78 = 280.11 : x
  2. Step 2: Convert to fraction form
    435.36/600.78 = 280.11/x
  3. Step 3: Cross multiply
    435.36x = 600.78 × 280.11
  4. Step 4: Simplify right side
    435.36x = 168,281.48
  5. Step 5: Solve for x
    x = 168,281.48/435.36
  6. Step 6: Final answer
    x = 386.54

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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.