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Finding the Fourth Proportional to 450.39, 678.80 and 425.27

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Solution

The fourth proportional to 450.39, 678.80 and 425.27 is: 640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.39 : 678.80 = 425.27 : x
  2. Step 2: Convert to fraction form
    450.39/678.80 = 425.27/x
  3. Step 3: Cross multiply
    450.39x = 678.80 × 425.27
  4. Step 4: Simplify right side
    450.39x = 288,673.28
  5. Step 5: Solve for x
    x = 288,673.28/450.39
  6. Step 6: Final answer
    x = 640.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.