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Finding the Fourth Proportional to 673.16, 1,009.78 and 210.92

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Solution

The fourth proportional to 673.16, 1,009.78 and 210.92 is: 316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.16 : 1,009.78 = 210.92 : x
  2. Step 2: Convert to fraction form
    673.16/1,009.78 = 210.92/x
  3. Step 3: Cross multiply
    673.16x = 1,009.78 × 210.92
  4. Step 4: Simplify right side
    673.16x = 212,982.80
  5. Step 5: Solve for x
    x = 212,982.80/673.16
  6. Step 6: Final answer
    x = 316.39

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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.