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Finding the Fourth Proportional to 423.67, 584.85 and 257.94

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Solution

The fourth proportional to 423.67, 584.85 and 257.94 is: 356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.67 : 584.85 = 257.94 : x
  2. Step 2: Convert to fraction form
    423.67/584.85 = 257.94/x
  3. Step 3: Cross multiply
    423.67x = 584.85 × 257.94
  4. Step 4: Simplify right side
    423.67x = 150,856.64
  5. Step 5: Solve for x
    x = 150,856.64/423.67
  6. Step 6: Final answer
    x = 356.07

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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.