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Finding the Fourth Proportional to 414.41, 621.71 and 374.10

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Solution

The fourth proportional to 414.41, 621.71 and 374.10 is: 561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.41 : 621.71 = 374.10 : x
  2. Step 2: Convert to fraction form
    414.41/621.71 = 374.10/x
  3. Step 3: Cross multiply
    414.41x = 621.71 × 374.10
  4. Step 4: Simplify right side
    414.41x = 232,579.84
  5. Step 5: Solve for x
    x = 232,579.84/414.41
  6. Step 6: Final answer
    x = 561.24

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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.