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Finding the Fourth Proportional to 462.00, 693.16 and 256.97

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Solution

The fourth proportional to 462.00, 693.16 and 256.97 is: 385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.00 : 693.16 = 256.97 : x
  2. Step 2: Convert to fraction form
    462.00/693.16 = 256.97/x
  3. Step 3: Cross multiply
    462.00x = 693.16 × 256.97
  4. Step 4: Simplify right side
    462.00x = 178,122.42
  5. Step 5: Solve for x
    x = 178,122.42/462.00
  6. Step 6: Final answer
    x = 385.54

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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.