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Finding the Fourth Proportional to 487.98, 673.55 and 301.44

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Solution

The fourth proportional to 487.98, 673.55 and 301.44 is: 416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.98 : 673.55 = 301.44 : x
  2. Step 2: Convert to fraction form
    487.98/673.55 = 301.44/x
  3. Step 3: Cross multiply
    487.98x = 673.55 × 301.44
  4. Step 4: Simplify right side
    487.98x = 203,033.40
  5. Step 5: Solve for x
    x = 203,033.40/487.98
  6. Step 6: Final answer
    x = 416.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.