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Finding the Fourth Proportional to 481.76, 722.64 and 288.80

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Solution

The fourth proportional to 481.76, 722.64 and 288.80 is: 433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.76 : 722.64 = 288.80 : x
  2. Step 2: Convert to fraction form
    481.76/722.64 = 288.80/x
  3. Step 3: Cross multiply
    481.76x = 722.64 × 288.80
  4. Step 4: Simplify right side
    481.76x = 208,698.43
  5. Step 5: Solve for x
    x = 208,698.43/481.76
  6. Step 6: Final answer
    x = 433.20

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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.