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Finding the Fourth Proportional to 608.45, 912.14 and 516.50

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Solution

The fourth proportional to 608.45, 912.14 and 516.50 is: 774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.45 : 912.14 = 516.50 : x
  2. Step 2: Convert to fraction form
    608.45/912.14 = 516.50/x
  3. Step 3: Cross multiply
    608.45x = 912.14 × 516.50
  4. Step 4: Simplify right side
    608.45x = 471,113.17
  5. Step 5: Solve for x
    x = 471,113.17/608.45
  6. Step 6: Final answer
    x = 774.29

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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.