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Finding the Fourth Proportional to 673.57, 1,010.02 and 308.05

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Solution

The fourth proportional to 673.57, 1,010.02 and 308.05 is: 461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.57 : 1,010.02 = 308.05 : x
  2. Step 2: Convert to fraction form
    673.57/1,010.02 = 308.05/x
  3. Step 3: Cross multiply
    673.57x = 1,010.02 × 308.05
  4. Step 4: Simplify right side
    673.57x = 311,130.07
  5. Step 5: Solve for x
    x = 311,130.07/673.57
  6. Step 6: Final answer
    x = 461.91

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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.