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Finding the Fourth Proportional to 435.76, 600.96 and 280.48

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Solution

The fourth proportional to 435.76, 600.96 and 280.48 is: 386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.76 : 600.96 = 280.48 : x
  2. Step 2: Convert to fraction form
    435.76/600.96 = 280.48/x
  3. Step 3: Cross multiply
    435.76x = 600.96 × 280.48
  4. Step 4: Simplify right side
    435.76x = 168,557.26
  5. Step 5: Solve for x
    x = 168,557.26/435.76
  6. Step 6: Final answer
    x = 386.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.