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Finding the Fourth Proportional to 637.98, 880.25 and 428.54

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Solution

The fourth proportional to 637.98, 880.25 and 428.54 is: 591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.98 : 880.25 = 428.54 : x
  2. Step 2: Convert to fraction form
    637.98/880.25 = 428.54/x
  3. Step 3: Cross multiply
    637.98x = 880.25 × 428.54
  4. Step 4: Simplify right side
    637.98x = 377,215.79
  5. Step 5: Solve for x
    x = 377,215.79/637.98
  6. Step 6: Final answer
    x = 591.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.