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Finding the Fourth Proportional to 462.54, 693.99 and 257.07

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Solution

The fourth proportional to 462.54, 693.99 and 257.07 is: 385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.54 : 693.99 = 257.07 : x
  2. Step 2: Convert to fraction form
    462.54/693.99 = 257.07/x
  3. Step 3: Cross multiply
    462.54x = 693.99 × 257.07
  4. Step 4: Simplify right side
    462.54x = 178,404.01
  5. Step 5: Solve for x
    x = 178,404.01/462.54
  6. Step 6: Final answer
    x = 385.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.