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Finding the Fourth Proportional to 417.20, 620.51 and 408.99

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Solution

The fourth proportional to 417.20, 620.51 and 408.99 is: 608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.20 : 620.51 = 408.99 : x
  2. Step 2: Convert to fraction form
    417.20/620.51 = 408.99/x
  3. Step 3: Cross multiply
    417.20x = 620.51 × 408.99
  4. Step 4: Simplify right side
    417.20x = 253,783.41
  5. Step 5: Solve for x
    x = 253,783.41/417.20
  6. Step 6: Final answer
    x = 608.31

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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.