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Finding the Fourth Proportional to 500.84, 755.71 and 480.88

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Solution

The fourth proportional to 500.84, 755.71 and 480.88 is: 725.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.84 : 755.71 = 480.88 : x
  2. Step 2: Convert to fraction form
    500.84/755.71 = 480.88/x
  3. Step 3: Cross multiply
    500.84x = 755.71 × 480.88
  4. Step 4: Simplify right side
    500.84x = 363,405.82
  5. Step 5: Solve for x
    x = 363,405.82/500.84
  6. Step 6: Final answer
    x = 725.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.