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Finding the Fourth Proportional to 425.96, 638.32 and 209.08

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Solution

The fourth proportional to 425.96, 638.32 and 209.08 is: 313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.96 : 638.32 = 209.08 : x
  2. Step 2: Convert to fraction form
    425.96/638.32 = 209.08/x
  3. Step 3: Cross multiply
    425.96x = 638.32 × 209.08
  4. Step 4: Simplify right side
    425.96x = 133,459.95
  5. Step 5: Solve for x
    x = 133,459.95/425.96
  6. Step 6: Final answer
    x = 313.32

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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.