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Finding the Fourth Proportional to 673.65, 1,009.26 and 326.77

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Solution

The fourth proportional to 673.65, 1,009.26 and 326.77 is: 489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.65 : 1,009.26 = 326.77 : x
  2. Step 2: Convert to fraction form
    673.65/1,009.26 = 326.77/x
  3. Step 3: Cross multiply
    673.65x = 1,009.26 × 326.77
  4. Step 4: Simplify right side
    673.65x = 329,793.37
  5. Step 5: Solve for x
    x = 329,793.37/673.65
  6. Step 6: Final answer
    x = 489.56

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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.