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Finding the Fourth Proportional to 480.82, 720.66 and 364.88

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Solution

The fourth proportional to 480.82, 720.66 and 364.88 is: 546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.82 : 720.66 = 364.88 : x
  2. Step 2: Convert to fraction form
    480.82/720.66 = 364.88/x
  3. Step 3: Cross multiply
    480.82x = 720.66 × 364.88
  4. Step 4: Simplify right side
    480.82x = 262,954.42
  5. Step 5: Solve for x
    x = 262,954.42/480.82
  6. Step 6: Final answer
    x = 546.89

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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.