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Finding the Fourth Proportional to 424.83, 585.96 and 389.97

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Solution

The fourth proportional to 424.83, 585.96 and 389.97 is: 537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.83 : 585.96 = 389.97 : x
  2. Step 2: Convert to fraction form
    424.83/585.96 = 389.97/x
  3. Step 3: Cross multiply
    424.83x = 585.96 × 389.97
  4. Step 4: Simplify right side
    424.83x = 228,506.82
  5. Step 5: Solve for x
    x = 228,506.82/424.83
  6. Step 6: Final answer
    x = 537.88

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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.