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Finding the Fourth Proportional to 423.55, 584.46 and 257.76

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Solution

The fourth proportional to 423.55, 584.46 and 257.76 is: 355.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.55 : 584.46 = 257.76 : x
  2. Step 2: Convert to fraction form
    423.55/584.46 = 257.76/x
  3. Step 3: Cross multiply
    423.55x = 584.46 × 257.76
  4. Step 4: Simplify right side
    423.55x = 150,650.41
  5. Step 5: Solve for x
    x = 150,650.41/423.55
  6. Step 6: Final answer
    x = 355.69

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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.