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Finding the Fourth Proportional to 414.10, 621.56 and 346.06

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Solution

The fourth proportional to 414.10, 621.56 and 346.06 is: 519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.10 : 621.56 = 346.06 : x
  2. Step 2: Convert to fraction form
    414.10/621.56 = 346.06/x
  3. Step 3: Cross multiply
    414.10x = 621.56 × 346.06
  4. Step 4: Simplify right side
    414.10x = 215,097.05
  5. Step 5: Solve for x
    x = 215,097.05/414.10
  6. Step 6: Final answer
    x = 519.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.