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Finding the Fourth Proportional to 505.07, 697.00 and 281.01

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Solution

The fourth proportional to 505.07, 697.00 and 281.01 is: 387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.07 : 697.00 = 281.01 : x
  2. Step 2: Convert to fraction form
    505.07/697.00 = 281.01/x
  3. Step 3: Cross multiply
    505.07x = 697.00 × 281.01
  4. Step 4: Simplify right side
    505.07x = 195,863.27
  5. Step 5: Solve for x
    x = 195,863.27/505.07
  6. Step 6: Final answer
    x = 387.79

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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.