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Finding the Fourth Proportional to 516.72, 774.78 and 256.20

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Solution

The fourth proportional to 516.72, 774.78 and 256.20 is: 384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.72 : 774.78 = 256.20 : x
  2. Step 2: Convert to fraction form
    516.72/774.78 = 256.20/x
  3. Step 3: Cross multiply
    516.72x = 774.78 × 256.20
  4. Step 4: Simplify right side
    516.72x = 198,498.64
  5. Step 5: Solve for x
    x = 198,498.64/516.72
  6. Step 6: Final answer
    x = 384.15

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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.