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Finding the Fourth Proportional to 414.20, 572.10 and 330.46

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Solution

The fourth proportional to 414.20, 572.10 and 330.46 is: 456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.20 : 572.10 = 330.46 : x
  2. Step 2: Convert to fraction form
    414.20/572.10 = 330.46/x
  3. Step 3: Cross multiply
    414.20x = 572.10 × 330.46
  4. Step 4: Simplify right side
    414.20x = 189,056.17
  5. Step 5: Solve for x
    x = 189,056.17/414.20
  6. Step 6: Final answer
    x = 456.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.