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Finding the Fourth Proportional to 673.29, 1,009.40 and 380.61

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Solution

The fourth proportional to 673.29, 1,009.40 and 380.61 is: 570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.29 : 1,009.40 = 380.61 : x
  2. Step 2: Convert to fraction form
    673.29/1,009.40 = 380.61/x
  3. Step 3: Cross multiply
    673.29x = 1,009.40 × 380.61
  4. Step 4: Simplify right side
    673.29x = 384,185.83
  5. Step 5: Solve for x
    x = 384,185.83/673.29
  6. Step 6: Final answer
    x = 570.61

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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.