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Finding the Fourth Proportional to 422.73, 585.81 and 417.51

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Solution

The fourth proportional to 422.73, 585.81 and 417.51 is: 578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.73 : 585.81 = 417.51 : x
  2. Step 2: Convert to fraction form
    422.73/585.81 = 417.51/x
  3. Step 3: Cross multiply
    422.73x = 585.81 × 417.51
  4. Step 4: Simplify right side
    422.73x = 244,581.53
  5. Step 5: Solve for x
    x = 244,581.53/422.73
  6. Step 6: Final answer
    x = 578.58

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.