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Finding the Fourth Proportional to 671.60, 1,007.70 and 363.09

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Solution

The fourth proportional to 671.60, 1,007.70 and 363.09 is: 544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.60 : 1,007.70 = 363.09 : x
  2. Step 2: Convert to fraction form
    671.60/1,007.70 = 363.09/x
  3. Step 3: Cross multiply
    671.60x = 1,007.70 × 363.09
  4. Step 4: Simplify right side
    671.60x = 365,885.79
  5. Step 5: Solve for x
    x = 365,885.79/671.60
  6. Step 6: Final answer
    x = 544.80

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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.