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Finding the Fourth Proportional to 344.79, 516.50 and 207.76

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Solution

The fourth proportional to 344.79, 516.50 and 207.76 is: 311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.79 : 516.50 = 207.76 : x
  2. Step 2: Convert to fraction form
    344.79/516.50 = 207.76/x
  3. Step 3: Cross multiply
    344.79x = 516.50 × 207.76
  4. Step 4: Simplify right side
    344.79x = 107,307.00
  5. Step 5: Solve for x
    x = 107,307.00/344.79
  6. Step 6: Final answer
    x = 311.22

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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.