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Finding the Fourth Proportional to 461.20, 693.78 and 454.72

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Solution

The fourth proportional to 461.20, 693.78 and 454.72 is: 684.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.20 : 693.78 = 454.72 : x
  2. Step 2: Convert to fraction form
    461.20/693.78 = 454.72/x
  3. Step 3: Cross multiply
    461.20x = 693.78 × 454.72
  4. Step 4: Simplify right side
    461.20x = 315,475.64
  5. Step 5: Solve for x
    x = 315,475.64/461.20
  6. Step 6: Final answer
    x = 684.03

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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.