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Finding the Fourth Proportional to 450.72, 618.32 and 446.46

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Solution

The fourth proportional to 450.72, 618.32 and 446.46 is: 612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.72 : 618.32 = 446.46 : x
  2. Step 2: Convert to fraction form
    450.72/618.32 = 446.46/x
  3. Step 3: Cross multiply
    450.72x = 618.32 × 446.46
  4. Step 4: Simplify right side
    450.72x = 276,055.15
  5. Step 5: Solve for x
    x = 276,055.15/450.72
  6. Step 6: Final answer
    x = 612.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.