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Finding the Fourth Proportional to 511.91, 706.46 and 290.86

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Solution

The fourth proportional to 511.91, 706.46 and 290.86 is: 401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.91 : 706.46 = 290.86 : x
  2. Step 2: Convert to fraction form
    511.91/706.46 = 290.86/x
  3. Step 3: Cross multiply
    511.91x = 706.46 × 290.86
  4. Step 4: Simplify right side
    511.91x = 205,480.96
  5. Step 5: Solve for x
    x = 205,480.96/511.91
  6. Step 6: Final answer
    x = 401.40

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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.