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Finding the Fourth Proportional to 511.27, 704.86 and 406.71

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Solution

The fourth proportional to 511.27, 704.86 and 406.71 is: 560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.27 : 704.86 = 406.71 : x
  2. Step 2: Convert to fraction form
    511.27/704.86 = 406.71/x
  3. Step 3: Cross multiply
    511.27x = 704.86 × 406.71
  4. Step 4: Simplify right side
    511.27x = 286,672.59
  5. Step 5: Solve for x
    x = 286,672.59/511.27
  6. Step 6: Final answer
    x = 560.71

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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.