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Finding the Fourth Proportional to 424.06, 585.06 and 276.72

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Solution

The fourth proportional to 424.06, 585.06 and 276.72 is: 381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.06 : 585.06 = 276.72 : x
  2. Step 2: Convert to fraction form
    424.06/585.06 = 276.72/x
  3. Step 3: Cross multiply
    424.06x = 585.06 × 276.72
  4. Step 4: Simplify right side
    424.06x = 161,897.80
  5. Step 5: Solve for x
    x = 161,897.80/424.06
  6. Step 6: Final answer
    x = 381.78

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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.