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Finding the Fourth Proportional to 604.64, 834.48 and 552.80

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Solution

The fourth proportional to 604.64, 834.48 and 552.80 is: 762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.64 : 834.48 = 552.80 : x
  2. Step 2: Convert to fraction form
    604.64/834.48 = 552.80/x
  3. Step 3: Cross multiply
    604.64x = 834.48 × 552.80
  4. Step 4: Simplify right side
    604.64x = 461,300.54
  5. Step 5: Solve for x
    x = 461,300.54/604.64
  6. Step 6: Final answer
    x = 762.93

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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.