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Finding the Fourth Proportional to 516.92, 778.16 and 464

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Solution

The fourth proportional to 516.92, 778.16 and 464 is: 698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.92 : 778.16 = 464 : x
  2. Step 2: Convert to fraction form
    516.92/778.16 = 464/x
  3. Step 3: Cross multiply
    516.92x = 778.16 × 464
  4. Step 4: Simplify right side
    516.92x = 361,066.24
  5. Step 5: Solve for x
    x = 361,066.24/516.92
  6. Step 6: Final answer
    x = 698.50

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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.