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Finding the Fourth Proportional to 419.45, 580.01 and 382.68

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Solution

The fourth proportional to 419.45, 580.01 and 382.68 is: 529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.45 : 580.01 = 382.68 : x
  2. Step 2: Convert to fraction form
    419.45/580.01 = 382.68/x
  3. Step 3: Cross multiply
    419.45x = 580.01 × 382.68
  4. Step 4: Simplify right side
    419.45x = 221,956.31
  5. Step 5: Solve for x
    x = 221,956.31/419.45
  6. Step 6: Final answer
    x = 529.17

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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.