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Finding the Fourth Proportional to 505.44, 696.89 and 411.92

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Solution

The fourth proportional to 505.44, 696.89 and 411.92 is: 567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.44 : 696.89 = 411.92 : x
  2. Step 2: Convert to fraction form
    505.44/696.89 = 411.92/x
  3. Step 3: Cross multiply
    505.44x = 696.89 × 411.92
  4. Step 4: Simplify right side
    505.44x = 287,062.93
  5. Step 5: Solve for x
    x = 287,062.93/505.44
  6. Step 6: Final answer
    x = 567.95

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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.