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Finding the Fourth Proportional to 423.68, 584.68 and 257.80

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Solution

The fourth proportional to 423.68, 584.68 and 257.80 is: 355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.68 : 584.68 = 257.80 : x
  2. Step 2: Convert to fraction form
    423.68/584.68 = 257.80/x
  3. Step 3: Cross multiply
    423.68x = 584.68 × 257.80
  4. Step 4: Simplify right side
    423.68x = 150,730.50
  5. Step 5: Solve for x
    x = 150,730.50/423.68
  6. Step 6: Final answer
    x = 355.76

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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.