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Finding the Fourth Proportional to 670.45, 1,005.05 and 345.73

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Solution

The fourth proportional to 670.45, 1,005.05 and 345.73 is: 518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.45 : 1,005.05 = 345.73 : x
  2. Step 2: Convert to fraction form
    670.45/1,005.05 = 345.73/x
  3. Step 3: Cross multiply
    670.45x = 1,005.05 × 345.73
  4. Step 4: Simplify right side
    670.45x = 347,474.21
  5. Step 5: Solve for x
    x = 347,474.21/670.45
  6. Step 6: Final answer
    x = 518.27

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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.