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Finding the Fourth Proportional to 424.43, 585.81 and 276.81

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Solution

The fourth proportional to 424.43, 585.81 and 276.81 is: 382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.43 : 585.81 = 276.81 : x
  2. Step 2: Convert to fraction form
    424.43/585.81 = 276.81/x
  3. Step 3: Cross multiply
    424.43x = 585.81 × 276.81
  4. Step 4: Simplify right side
    424.43x = 162,158.07
  5. Step 5: Solve for x
    x = 162,158.07/424.43
  6. Step 6: Final answer
    x = 382.06

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Why These Related Problems?

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