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Finding the Fourth Proportional to 511.97, 771.69 and 468.14

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Solution

The fourth proportional to 511.97, 771.69 and 468.14 is: 705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.97 : 771.69 = 468.14 : x
  2. Step 2: Convert to fraction form
    511.97/771.69 = 468.14/x
  3. Step 3: Cross multiply
    511.97x = 771.69 × 468.14
  4. Step 4: Simplify right side
    511.97x = 361,262.64
  5. Step 5: Solve for x
    x = 361,262.64/511.97
  6. Step 6: Final answer
    x = 705.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.