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Finding the Fourth Proportional to 419.64, 579.18 and 401.19

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Solution

The fourth proportional to 419.64, 579.18 and 401.19 is: 553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.64 : 579.18 = 401.19 : x
  2. Step 2: Convert to fraction form
    419.64/579.18 = 401.19/x
  3. Step 3: Cross multiply
    419.64x = 579.18 × 401.19
  4. Step 4: Simplify right side
    419.64x = 232,361.22
  5. Step 5: Solve for x
    x = 232,361.22/419.64
  6. Step 6: Final answer
    x = 553.72

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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.