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Finding the Fourth Proportional to 450.16, 676.50 and 267.64

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Solution

The fourth proportional to 450.16, 676.50 and 267.64 is: 402.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.16 : 676.50 = 267.64 : x
  2. Step 2: Convert to fraction form
    450.16/676.50 = 267.64/x
  3. Step 3: Cross multiply
    450.16x = 676.50 × 267.64
  4. Step 4: Simplify right side
    450.16x = 181,058.46
  5. Step 5: Solve for x
    x = 181,058.46/450.16
  6. Step 6: Final answer
    x = 402.21

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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.