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Finding the Fourth Proportional to 424.31, 585.74 and 277.04

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Solution

The fourth proportional to 424.31, 585.74 and 277.04 is: 382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.31 : 585.74 = 277.04 : x
  2. Step 2: Convert to fraction form
    424.31/585.74 = 277.04/x
  3. Step 3: Cross multiply
    424.31x = 585.74 × 277.04
  4. Step 4: Simplify right side
    424.31x = 162,273.41
  5. Step 5: Solve for x
    x = 162,273.41/424.31
  6. Step 6: Final answer
    x = 382.44

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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.