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Finding the Fourth Proportional to 455.36, 624.33 and 447.14

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Solution

The fourth proportional to 455.36, 624.33 and 447.14 is: 613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.36 : 624.33 = 447.14 : x
  2. Step 2: Convert to fraction form
    455.36/624.33 = 447.14/x
  3. Step 3: Cross multiply
    455.36x = 624.33 × 447.14
  4. Step 4: Simplify right side
    455.36x = 279,160.68
  5. Step 5: Solve for x
    x = 279,160.68/455.36
  6. Step 6: Final answer
    x = 613.05

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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.