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Finding the Fourth Proportional to 673.34, 1,009.62 and 326.39

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Solution

The fourth proportional to 673.34, 1,009.62 and 326.39 is: 489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.34 : 1,009.62 = 326.39 : x
  2. Step 2: Convert to fraction form
    673.34/1,009.62 = 326.39/x
  3. Step 3: Cross multiply
    673.34x = 1,009.62 × 326.39
  4. Step 4: Simplify right side
    673.34x = 329,524.82
  5. Step 5: Solve for x
    x = 329,524.82/673.34
  6. Step 6: Final answer
    x = 489.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.