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Finding the Fourth Proportional to 505.60, 698.12 and 394.88

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Solution

The fourth proportional to 505.60, 698.12 and 394.88 is: 545.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.60 : 698.12 = 394.88 : x
  2. Step 2: Convert to fraction form
    505.60/698.12 = 394.88/x
  3. Step 3: Cross multiply
    505.60x = 698.12 × 394.88
  4. Step 4: Simplify right side
    505.60x = 275,675.53
  5. Step 5: Solve for x
    x = 275,675.53/505.60
  6. Step 6: Final answer
    x = 545.24

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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.