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Finding the Fourth Proportional to 673.46, 1,009.37 and 283.31

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Solution

The fourth proportional to 673.46, 1,009.37 and 283.31 is: 424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.46 : 1,009.37 = 283.31 : x
  2. Step 2: Convert to fraction form
    673.46/1,009.37 = 283.31/x
  3. Step 3: Cross multiply
    673.46x = 1,009.37 × 283.31
  4. Step 4: Simplify right side
    673.46x = 285,958.15
  5. Step 5: Solve for x
    x = 285,958.15/673.46
  6. Step 6: Final answer
    x = 424.61

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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.