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Finding the Fourth Proportional to 423.94, 585.05 and 276.84

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Solution

The fourth proportional to 423.94, 585.05 and 276.84 is: 382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.94 : 585.05 = 276.84 : x
  2. Step 2: Convert to fraction form
    423.94/585.05 = 276.84/x
  3. Step 3: Cross multiply
    423.94x = 585.05 × 276.84
  4. Step 4: Simplify right side
    423.94x = 161,965.24
  5. Step 5: Solve for x
    x = 161,965.24/423.94
  6. Step 6: Final answer
    x = 382.05

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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.