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Finding the Fourth Proportional to 516.58, 775.59 and 325.06

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Solution

The fourth proportional to 516.58, 775.59 and 325.06 is: 488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.58 : 775.59 = 325.06 : x
  2. Step 2: Convert to fraction form
    516.58/775.59 = 325.06/x
  3. Step 3: Cross multiply
    516.58x = 775.59 × 325.06
  4. Step 4: Simplify right side
    516.58x = 252,113.29
  5. Step 5: Solve for x
    x = 252,113.29/516.58
  6. Step 6: Final answer
    x = 488.04

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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.