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Finding the Fourth Proportional to 671.36, 1,006.23 and 346.55

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Solution

The fourth proportional to 671.36, 1,006.23 and 346.55 is: 519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.36 : 1,006.23 = 346.55 : x
  2. Step 2: Convert to fraction form
    671.36/1,006.23 = 346.55/x
  3. Step 3: Cross multiply
    671.36x = 1,006.23 × 346.55
  4. Step 4: Simplify right side
    671.36x = 348,709.01
  5. Step 5: Solve for x
    x = 348,709.01/671.36
  6. Step 6: Final answer
    x = 519.41

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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.