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Finding the Fourth Proportional to 428.36, 642.14 and 208.85

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Solution

The fourth proportional to 428.36, 642.14 and 208.85 is: 313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.36 : 642.14 = 208.85 : x
  2. Step 2: Convert to fraction form
    428.36/642.14 = 208.85/x
  3. Step 3: Cross multiply
    428.36x = 642.14 × 208.85
  4. Step 4: Simplify right side
    428.36x = 134,108.64
  5. Step 5: Solve for x
    x = 134,108.64/428.36
  6. Step 6: Final answer
    x = 313.08

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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.