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Finding the Fourth Proportional to 488.28, 733.26 and 484.50

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Solution

The fourth proportional to 488.28, 733.26 and 484.50 is: 727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.28 : 733.26 = 484.50 : x
  2. Step 2: Convert to fraction form
    488.28/733.26 = 484.50/x
  3. Step 3: Cross multiply
    488.28x = 733.26 × 484.50
  4. Step 4: Simplify right side
    488.28x = 355,264.47
  5. Step 5: Solve for x
    x = 355,264.47/488.28
  6. Step 6: Final answer
    x = 727.58

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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.