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Finding the Fourth Proportional to 480.33, 719.42 and 297.41

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Solution

The fourth proportional to 480.33, 719.42 and 297.41 is: 445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.33 : 719.42 = 297.41 : x
  2. Step 2: Convert to fraction form
    480.33/719.42 = 297.41/x
  3. Step 3: Cross multiply
    480.33x = 719.42 × 297.41
  4. Step 4: Simplify right side
    480.33x = 213,957.62
  5. Step 5: Solve for x
    x = 213,957.62/480.33
  6. Step 6: Final answer
    x = 445.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.