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Finding the Fourth Proportional to 450.52, 676.07 and 416.71

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Solution

The fourth proportional to 450.52, 676.07 and 416.71 is: 625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.52 : 676.07 = 416.71 : x
  2. Step 2: Convert to fraction form
    450.52/676.07 = 416.71/x
  3. Step 3: Cross multiply
    450.52x = 676.07 × 416.71
  4. Step 4: Simplify right side
    450.52x = 281,725.13
  5. Step 5: Solve for x
    x = 281,725.13/450.52
  6. Step 6: Final answer
    x = 625.33

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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.