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Finding the Fourth Proportional to 455.16, 624.04 and 446.97

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Solution

The fourth proportional to 455.16, 624.04 and 446.97 is: 612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.16 : 624.04 = 446.97 : x
  2. Step 2: Convert to fraction form
    455.16/624.04 = 446.97/x
  3. Step 3: Cross multiply
    455.16x = 624.04 × 446.97
  4. Step 4: Simplify right side
    455.16x = 278,927.16
  5. Step 5: Solve for x
    x = 278,927.16/455.16
  6. Step 6: Final answer
    x = 612.81

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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.