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Finding the Fourth Proportional to 531.96, 796.50 and 444.60

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Solution

The fourth proportional to 531.96, 796.50 and 444.60 is: 665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.96 : 796.50 = 444.60 : x
  2. Step 2: Convert to fraction form
    531.96/796.50 = 444.60/x
  3. Step 3: Cross multiply
    531.96x = 796.50 × 444.60
  4. Step 4: Simplify right side
    531.96x = 354,123.90
  5. Step 5: Solve for x
    x = 354,123.90/531.96
  6. Step 6: Final answer
    x = 665.70

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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.