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Finding the Fourth Proportional to 488.70, 673.23 and 341.07

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Solution

The fourth proportional to 488.70, 673.23 and 341.07 is: 469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.70 : 673.23 = 341.07 : x
  2. Step 2: Convert to fraction form
    488.70/673.23 = 341.07/x
  3. Step 3: Cross multiply
    488.70x = 673.23 × 341.07
  4. Step 4: Simplify right side
    488.70x = 229,618.56
  5. Step 5: Solve for x
    x = 229,618.56/488.70
  6. Step 6: Final answer
    x = 469.86

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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.