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Finding the Fourth Proportional to 673.20, 1,009.83 and 348.48

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Solution

The fourth proportional to 673.20, 1,009.83 and 348.48 is: 522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.20 : 1,009.83 = 348.48 : x
  2. Step 2: Convert to fraction form
    673.20/1,009.83 = 348.48/x
  3. Step 3: Cross multiply
    673.20x = 1,009.83 × 348.48
  4. Step 4: Simplify right side
    673.20x = 351,905.56
  5. Step 5: Solve for x
    x = 351,905.56/673.20
  6. Step 6: Final answer
    x = 522.74

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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.