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Finding the Fourth Proportional to 423.65, 584.60 and 257.83

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Solution

The fourth proportional to 423.65, 584.60 and 257.83 is: 355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.65 : 584.60 = 257.83 : x
  2. Step 2: Convert to fraction form
    423.65/584.60 = 257.83/x
  3. Step 3: Cross multiply
    423.65x = 584.60 × 257.83
  4. Step 4: Simplify right side
    423.65x = 150,724.35
  5. Step 5: Solve for x
    x = 150,724.35/423.65
  6. Step 6: Final answer
    x = 355.78

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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.