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Finding the Fourth Proportional to 505.11, 696.96 and 281.02

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Solution

The fourth proportional to 505.11, 696.96 and 281.02 is: 387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.11 : 696.96 = 281.02 : x
  2. Step 2: Convert to fraction form
    505.11/696.96 = 281.02/x
  3. Step 3: Cross multiply
    505.11x = 696.96 × 281.02
  4. Step 4: Simplify right side
    505.11x = 195,854.81
  5. Step 5: Solve for x
    x = 195,854.81/505.11
  6. Step 6: Final answer
    x = 387.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.