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Finding the Fourth Proportional to 462.50, 693.76 and 257.04

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Solution

The fourth proportional to 462.50, 693.76 and 257.04 is: 385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.50 : 693.76 = 257.04 : x
  2. Step 2: Convert to fraction form
    462.50/693.76 = 257.04/x
  3. Step 3: Cross multiply
    462.50x = 693.76 × 257.04
  4. Step 4: Simplify right side
    462.50x = 178,324.07
  5. Step 5: Solve for x
    x = 178,324.07/462.50
  6. Step 6: Final answer
    x = 385.57

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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.