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Finding the Fourth Proportional to 491.94, 740.52 and 447.30

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Solution

The fourth proportional to 491.94, 740.52 and 447.30 is: 673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.94 : 740.52 = 447.30 : x
  2. Step 2: Convert to fraction form
    491.94/740.52 = 447.30/x
  3. Step 3: Cross multiply
    491.94x = 740.52 × 447.30
  4. Step 4: Simplify right side
    491.94x = 331,234.60
  5. Step 5: Solve for x
    x = 331,234.60/491.94
  6. Step 6: Final answer
    x = 673.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.