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Finding the Fourth Proportional to 516.35, 775.71 and 334.10

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Solution

The fourth proportional to 516.35, 775.71 and 334.10 is: 501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.35 : 775.71 = 334.10 : x
  2. Step 2: Convert to fraction form
    516.35/775.71 = 334.10/x
  3. Step 3: Cross multiply
    516.35x = 775.71 × 334.10
  4. Step 4: Simplify right side
    516.35x = 259,164.71
  5. Step 5: Solve for x
    x = 259,164.71/516.35
  6. Step 6: Final answer
    x = 501.92

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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.