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Finding the Fourth Proportional to 461.76, 687.72 and 450.40

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Solution

The fourth proportional to 461.76, 687.72 and 450.40 is: 670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.76 : 687.72 = 450.40 : x
  2. Step 2: Convert to fraction form
    461.76/687.72 = 450.40/x
  3. Step 3: Cross multiply
    461.76x = 687.72 × 450.40
  4. Step 4: Simplify right side
    461.76x = 309,749.09
  5. Step 5: Solve for x
    x = 309,749.09/461.76
  6. Step 6: Final answer
    x = 670.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.