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Finding the Fourth Proportional to 423.10, 584.85 and 389.08

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Solution

The fourth proportional to 423.10, 584.85 and 389.08 is: 537.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.10 : 584.85 = 389.08 : x
  2. Step 2: Convert to fraction form
    423.10/584.85 = 389.08/x
  3. Step 3: Cross multiply
    423.10x = 584.85 × 389.08
  4. Step 4: Simplify right side
    423.10x = 227,553.44
  5. Step 5: Solve for x
    x = 227,553.44/423.10
  6. Step 6: Final answer
    x = 537.82

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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.