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Finding the Fourth Proportional to 673, 1,008.53 and 412.38

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Solution

The fourth proportional to 673, 1,008.53 and 412.38 is: 617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    673 : 1,008.53 = 412.38 : x
  2. Step 2: Convert to fraction form
    673/1,008.53 = 412.38/x
  3. Step 3: Cross multiply
    673x = 1,008.53 × 412.38
  4. Step 4: Simplify right side
    673x = 415,897.60
  5. Step 5: Solve for x
    x = 415,897.60/673
  6. Step 6: Final answer
    x = 617.98

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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.