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Finding the Fourth Proportional to 655.96, 904.84 and 394.04

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Solution

The fourth proportional to 655.96, 904.84 and 394.04 is: 543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.96 : 904.84 = 394.04 : x
  2. Step 2: Convert to fraction form
    655.96/904.84 = 394.04/x
  3. Step 3: Cross multiply
    655.96x = 904.84 × 394.04
  4. Step 4: Simplify right side
    655.96x = 356,543.15
  5. Step 5: Solve for x
    x = 356,543.15/655.96
  6. Step 6: Final answer
    x = 543.54

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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.