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Finding the Fourth Proportional to 516.50, 775.29 and 260

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Solution

The fourth proportional to 516.50, 775.29 and 260 is: 390.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.50 : 775.29 = 260 : x
  2. Step 2: Convert to fraction form
    516.50/775.29 = 260/x
  3. Step 3: Cross multiply
    516.50x = 775.29 × 260
  4. Step 4: Simplify right side
    516.50x = 201,575.40
  5. Step 5: Solve for x
    x = 201,575.40/516.50
  6. Step 6: Final answer
    x = 390.27

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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.