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Finding the Fourth Proportional to 426.63, 589.77 and 382.89

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Solution

The fourth proportional to 426.63, 589.77 and 382.89 is: 529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.63 : 589.77 = 382.89 : x
  2. Step 2: Convert to fraction form
    426.63/589.77 = 382.89/x
  3. Step 3: Cross multiply
    426.63x = 589.77 × 382.89
  4. Step 4: Simplify right side
    426.63x = 225,817.04
  5. Step 5: Solve for x
    x = 225,817.04/426.63
  6. Step 6: Final answer
    x = 529.30

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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.