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Finding the Fourth Proportional to 428.62, 642.64 and 209.16

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Solution

The fourth proportional to 428.62, 642.64 and 209.16 is: 313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.62 : 642.64 = 209.16 : x
  2. Step 2: Convert to fraction form
    428.62/642.64 = 209.16/x
  3. Step 3: Cross multiply
    428.62x = 642.64 × 209.16
  4. Step 4: Simplify right side
    428.62x = 134,414.58
  5. Step 5: Solve for x
    x = 134,414.58/428.62
  6. Step 6: Final answer
    x = 313.60

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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.