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Finding the Fourth Proportional to 608.31, 840.78 and 477.09

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Solution

The fourth proportional to 608.31, 840.78 and 477.09 is: 659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.31 : 840.78 = 477.09 : x
  2. Step 2: Convert to fraction form
    608.31/840.78 = 477.09/x
  3. Step 3: Cross multiply
    608.31x = 840.78 × 477.09
  4. Step 4: Simplify right side
    608.31x = 401,127.73
  5. Step 5: Solve for x
    x = 401,127.73/608.31
  6. Step 6: Final answer
    x = 659.41

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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.