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Finding the Fourth Proportional to 428.82, 642.90 and 209.32

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Solution

The fourth proportional to 428.82, 642.90 and 209.32 is: 313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.82 : 642.90 = 209.32 : x
  2. Step 2: Convert to fraction form
    428.82/642.90 = 209.32/x
  3. Step 3: Cross multiply
    428.82x = 642.90 × 209.32
  4. Step 4: Simplify right side
    428.82x = 134,571.83
  5. Step 5: Solve for x
    x = 134,571.83/428.82
  6. Step 6: Final answer
    x = 313.82

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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.