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Finding the Fourth Proportional to 673.41, 1,009.56 and 348.87

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Solution

The fourth proportional to 673.41, 1,009.56 and 348.87 is: 523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.41 : 1,009.56 = 348.87 : x
  2. Step 2: Convert to fraction form
    673.41/1,009.56 = 348.87/x
  3. Step 3: Cross multiply
    673.41x = 1,009.56 × 348.87
  4. Step 4: Simplify right side
    673.41x = 352,205.20
  5. Step 5: Solve for x
    x = 352,205.20/673.41
  6. Step 6: Final answer
    x = 523.02

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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.