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Finding the Fourth Proportional to 480.82, 719.72 and 306.88

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Solution

The fourth proportional to 480.82, 719.72 and 306.88 is: 459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.82 : 719.72 = 306.88 : x
  2. Step 2: Convert to fraction form
    480.82/719.72 = 306.88/x
  3. Step 3: Cross multiply
    480.82x = 719.72 × 306.88
  4. Step 4: Simplify right side
    480.82x = 220,867.67
  5. Step 5: Solve for x
    x = 220,867.67/480.82
  6. Step 6: Final answer
    x = 459.36

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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.