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Finding the Fourth Proportional to 488.80, 733.42 and 245.50

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Solution

The fourth proportional to 488.80, 733.42 and 245.50 is: 368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.80 : 733.42 = 245.50 : x
  2. Step 2: Convert to fraction form
    488.80/733.42 = 245.50/x
  3. Step 3: Cross multiply
    488.80x = 733.42 × 245.50
  4. Step 4: Simplify right side
    488.80x = 180,053.08
  5. Step 5: Solve for x
    x = 180,053.08/488.80
  6. Step 6: Final answer
    x = 368.36

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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.