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Finding the Fourth Proportional to 423.56, 584.16 and 257.76

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Solution

The fourth proportional to 423.56, 584.16 and 257.76 is: 355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.56 : 584.16 = 257.76 : x
  2. Step 2: Convert to fraction form
    423.56/584.16 = 257.76/x
  3. Step 3: Cross multiply
    423.56x = 584.16 × 257.76
  4. Step 4: Simplify right side
    423.56x = 150,573.08
  5. Step 5: Solve for x
    x = 150,573.08/423.56
  6. Step 6: Final answer
    x = 355.49

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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.