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Finding the Fourth Proportional to 647.43, 893.02 and 447.91

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Solution

The fourth proportional to 647.43, 893.02 and 447.91 is: 617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.43 : 893.02 = 447.91 : x
  2. Step 2: Convert to fraction form
    647.43/893.02 = 447.91/x
  3. Step 3: Cross multiply
    647.43x = 893.02 × 447.91
  4. Step 4: Simplify right side
    647.43x = 399,992.59
  5. Step 5: Solve for x
    x = 399,992.59/647.43
  6. Step 6: Final answer
    x = 617.82

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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.