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Finding the Fourth Proportional to 450.78, 621.92 and 264.23

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Solution

The fourth proportional to 450.78, 621.92 and 264.23 is: 364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.78 : 621.92 = 264.23 : x
  2. Step 2: Convert to fraction form
    450.78/621.92 = 264.23/x
  3. Step 3: Cross multiply
    450.78x = 621.92 × 264.23
  4. Step 4: Simplify right side
    450.78x = 164,325.49
  5. Step 5: Solve for x
    x = 164,325.49/450.78
  6. Step 6: Final answer
    x = 364.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.