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Finding the Fourth Proportional to 453.45, 676.64 and 435.66

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Solution

The fourth proportional to 453.45, 676.64 and 435.66 is: 650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.45 : 676.64 = 435.66 : x
  2. Step 2: Convert to fraction form
    453.45/676.64 = 435.66/x
  3. Step 3: Cross multiply
    453.45x = 676.64 × 435.66
  4. Step 4: Simplify right side
    453.45x = 294,782.80
  5. Step 5: Solve for x
    x = 294,782.80/453.45
  6. Step 6: Final answer
    x = 650.09

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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.