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Finding the Fourth Proportional to 516.75, 775.10 and 256.65

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Solution

The fourth proportional to 516.75, 775.10 and 256.65 is: 384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.75 : 775.10 = 256.65 : x
  2. Step 2: Convert to fraction form
    516.75/775.10 = 256.65/x
  3. Step 3: Cross multiply
    516.75x = 775.10 × 256.65
  4. Step 4: Simplify right side
    516.75x = 198,928.13
  5. Step 5: Solve for x
    x = 198,928.13/516.75
  6. Step 6: Final answer
    x = 384.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.