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Finding the Fourth Proportional to 480.73, 719.70 and 365.63

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Solution

The fourth proportional to 480.73, 719.70 and 365.63 is: 547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.73 : 719.70 = 365.63 : x
  2. Step 2: Convert to fraction form
    480.73/719.70 = 365.63/x
  3. Step 3: Cross multiply
    480.73x = 719.70 × 365.63
  4. Step 4: Simplify right side
    480.73x = 263,143.91
  5. Step 5: Solve for x
    x = 263,143.91/480.73
  6. Step 6: Final answer
    x = 547.38

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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.