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Finding the Fourth Proportional to 435.20, 600.64 and 285.96

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Solution

The fourth proportional to 435.20, 600.64 and 285.96 is: 394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.20 : 600.64 = 285.96 : x
  2. Step 2: Convert to fraction form
    435.20/600.64 = 285.96/x
  3. Step 3: Cross multiply
    435.20x = 600.64 × 285.96
  4. Step 4: Simplify right side
    435.20x = 171,759.01
  5. Step 5: Solve for x
    x = 171,759.01/435.20
  6. Step 6: Final answer
    x = 394.67

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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.