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Finding the Fourth Proportional to 414.17, 620.34 and 375.90

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Solution

The fourth proportional to 414.17, 620.34 and 375.90 is: 563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.17 : 620.34 = 375.90 : x
  2. Step 2: Convert to fraction form
    414.17/620.34 = 375.90/x
  3. Step 3: Cross multiply
    414.17x = 620.34 × 375.90
  4. Step 4: Simplify right side
    414.17x = 233,185.81
  5. Step 5: Solve for x
    x = 233,185.81/414.17
  6. Step 6: Final answer
    x = 563.02

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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.