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Finding the Fourth Proportional to 419.60, 625.02 and 417.62

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Solution

The fourth proportional to 419.60, 625.02 and 417.62 is: 622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.60 : 625.02 = 417.62 : x
  2. Step 2: Convert to fraction form
    419.60/625.02 = 417.62/x
  3. Step 3: Cross multiply
    419.60x = 625.02 × 417.62
  4. Step 4: Simplify right side
    419.60x = 261,020.85
  5. Step 5: Solve for x
    x = 261,020.85/419.60
  6. Step 6: Final answer
    x = 622.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.