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Finding the Fourth Proportional to 480.29, 719.48 and 446.54

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Solution

The fourth proportional to 480.29, 719.48 and 446.54 is: 668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.29 : 719.48 = 446.54 : x
  2. Step 2: Convert to fraction form
    480.29/719.48 = 446.54/x
  3. Step 3: Cross multiply
    480.29x = 719.48 × 446.54
  4. Step 4: Simplify right side
    480.29x = 321,274.12
  5. Step 5: Solve for x
    x = 321,274.12/480.29
  6. Step 6: Final answer
    x = 668.92

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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.