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Finding the Fourth Proportional to 450.64, 676.25 and 416.83

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Solution

The fourth proportional to 450.64, 676.25 and 416.83 is: 625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.64 : 676.25 = 416.83 : x
  2. Step 2: Convert to fraction form
    450.64/676.25 = 416.83/x
  3. Step 3: Cross multiply
    450.64x = 676.25 × 416.83
  4. Step 4: Simplify right side
    450.64x = 281,881.29
  5. Step 5: Solve for x
    x = 281,881.29/450.64
  6. Step 6: Final answer
    x = 625.51

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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.