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Finding the Fourth Proportional to 516.63, 774.74 and 256.54

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Solution

The fourth proportional to 516.63, 774.74 and 256.54 is: 384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.63 : 774.74 = 256.54 : x
  2. Step 2: Convert to fraction form
    516.63/774.74 = 256.54/x
  3. Step 3: Cross multiply
    516.63x = 774.74 × 256.54
  4. Step 4: Simplify right side
    516.63x = 198,748.58
  5. Step 5: Solve for x
    x = 198,748.58/516.63
  6. Step 6: Final answer
    x = 384.70

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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.