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Finding the Fourth Proportional to 608.25, 911.34 and 580.83

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Solution

The fourth proportional to 608.25, 911.34 and 580.83 is: 870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.25 : 911.34 = 580.83 : x
  2. Step 2: Convert to fraction form
    608.25/911.34 = 580.83/x
  3. Step 3: Cross multiply
    608.25x = 911.34 × 580.83
  4. Step 4: Simplify right side
    608.25x = 529,333.61
  5. Step 5: Solve for x
    x = 529,333.61/608.25
  6. Step 6: Final answer
    x = 870.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.