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Finding the Fourth Proportional to 602.17, 901.69 and 516.05

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Solution

The fourth proportional to 602.17, 901.69 and 516.05 is: 772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.17 : 901.69 = 516.05 : x
  2. Step 2: Convert to fraction form
    602.17/901.69 = 516.05/x
  3. Step 3: Cross multiply
    602.17x = 901.69 × 516.05
  4. Step 4: Simplify right side
    602.17x = 465,317.12
  5. Step 5: Solve for x
    x = 465,317.12/602.17
  6. Step 6: Final answer
    x = 772.73

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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.