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Finding the Fourth Proportional to 505.23, 697.18 and 281.15

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Solution

The fourth proportional to 505.23, 697.18 and 281.15 is: 387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.23 : 697.18 = 281.15 : x
  2. Step 2: Convert to fraction form
    505.23/697.18 = 281.15/x
  3. Step 3: Cross multiply
    505.23x = 697.18 × 281.15
  4. Step 4: Simplify right side
    505.23x = 196,010.75
  5. Step 5: Solve for x
    x = 196,010.75/505.23
  6. Step 6: Final answer
    x = 387.96

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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.