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Finding the Fourth Proportional to 424.20, 585.66 and 277.25

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Solution

The fourth proportional to 424.20, 585.66 and 277.25 is: 382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.20 : 585.66 = 277.25 : x
  2. Step 2: Convert to fraction form
    424.20/585.66 = 277.25/x
  3. Step 3: Cross multiply
    424.20x = 585.66 × 277.25
  4. Step 4: Simplify right side
    424.20x = 162,374.24
  5. Step 5: Solve for x
    x = 162,374.24/424.20
  6. Step 6: Final answer
    x = 382.78

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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.