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Finding the Fourth Proportional to 458.64, 628.72 and 450.36

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Solution

The fourth proportional to 458.64, 628.72 and 450.36 is: 617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.64 : 628.72 = 450.36 : x
  2. Step 2: Convert to fraction form
    458.64/628.72 = 450.36/x
  3. Step 3: Cross multiply
    458.64x = 628.72 × 450.36
  4. Step 4: Simplify right side
    458.64x = 283,149.21
  5. Step 5: Solve for x
    x = 283,149.21/458.64
  6. Step 6: Final answer
    x = 617.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.