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Finding the Fourth Proportional to 453.90, 676.52 and 440.70

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Solution

The fourth proportional to 453.90, 676.52 and 440.70 is: 656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.90 : 676.52 = 440.70 : x
  2. Step 2: Convert to fraction form
    453.90/676.52 = 440.70/x
  3. Step 3: Cross multiply
    453.90x = 676.52 × 440.70
  4. Step 4: Simplify right side
    453.90x = 298,140.16
  5. Step 5: Solve for x
    x = 298,140.16/453.90
  6. Step 6: Final answer
    x = 656.84

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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.