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Finding the Fourth Proportional to 516.56, 774.84 and 260.24

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Solution

The fourth proportional to 516.56, 774.84 and 260.24 is: 390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.56 : 774.84 = 260.24 : x
  2. Step 2: Convert to fraction form
    516.56/774.84 = 260.24/x
  3. Step 3: Cross multiply
    516.56x = 774.84 × 260.24
  4. Step 4: Simplify right side
    516.56x = 201,644.36
  5. Step 5: Solve for x
    x = 201,644.36/516.56
  6. Step 6: Final answer
    x = 390.36

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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.