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Finding the Fourth Proportional to 488.79, 673.81 and 349.06

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Solution

The fourth proportional to 488.79, 673.81 and 349.06 is: 481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.79 : 673.81 = 349.06 : x
  2. Step 2: Convert to fraction form
    488.79/673.81 = 349.06/x
  3. Step 3: Cross multiply
    488.79x = 673.81 × 349.06
  4. Step 4: Simplify right side
    488.79x = 235,200.12
  5. Step 5: Solve for x
    x = 235,200.12/488.79
  6. Step 6: Final answer
    x = 481.19

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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.