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Finding the Fourth Proportional to 671.45, 1,006.55 and 346.73

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Solution

The fourth proportional to 671.45, 1,006.55 and 346.73 is: 519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.45 : 1,006.55 = 346.73 : x
  2. Step 2: Convert to fraction form
    671.45/1,006.55 = 346.73/x
  3. Step 3: Cross multiply
    671.45x = 1,006.55 × 346.73
  4. Step 4: Simplify right side
    671.45x = 348,999.35
  5. Step 5: Solve for x
    x = 348,999.35/671.45
  6. Step 6: Final answer
    x = 519.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.