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Finding the Fourth Proportional to 488.45, 732.80 and 344.45

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Solution

The fourth proportional to 488.45, 732.80 and 344.45 is: 516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.45 : 732.80 = 344.45 : x
  2. Step 2: Convert to fraction form
    488.45/732.80 = 344.45/x
  3. Step 3: Cross multiply
    488.45x = 732.80 × 344.45
  4. Step 4: Simplify right side
    488.45x = 252,412.96
  5. Step 5: Solve for x
    x = 252,412.96/488.45
  6. Step 6: Final answer
    x = 516.76

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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.