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Finding the Fourth Proportional to 357.96, 536.23 and 280.54

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Solution

The fourth proportional to 357.96, 536.23 and 280.54 is: 420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.96 : 536.23 = 280.54 : x
  2. Step 2: Convert to fraction form
    357.96/536.23 = 280.54/x
  3. Step 3: Cross multiply
    357.96x = 536.23 × 280.54
  4. Step 4: Simplify right side
    357.96x = 150,431.92
  5. Step 5: Solve for x
    x = 150,431.92/357.96
  6. Step 6: Final answer
    x = 420.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.