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Finding the Fourth Proportional to 608.56, 838.93 and 433.60

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Solution

The fourth proportional to 608.56, 838.93 and 433.60 is: 597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.56 : 838.93 = 433.60 : x
  2. Step 2: Convert to fraction form
    608.56/838.93 = 433.60/x
  3. Step 3: Cross multiply
    608.56x = 838.93 × 433.60
  4. Step 4: Simplify right side
    608.56x = 363,755.85
  5. Step 5: Solve for x
    x = 363,755.85/608.56
  6. Step 6: Final answer
    x = 597.74

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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.