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Finding the Fourth Proportional to 417.60, 625.70 and 344.70

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Solution

The fourth proportional to 417.60, 625.70 and 344.70 is: 516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.60 : 625.70 = 344.70 : x
  2. Step 2: Convert to fraction form
    417.60/625.70 = 344.70/x
  3. Step 3: Cross multiply
    417.60x = 625.70 × 344.70
  4. Step 4: Simplify right side
    417.60x = 215,673.94
  5. Step 5: Solve for x
    x = 215,673.94/417.60
  6. Step 6: Final answer
    x = 516.47

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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.