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Finding the Fourth Proportional to 719.60, 993.12 and 439.96

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Solution

The fourth proportional to 719.60, 993.12 and 439.96 is: 607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.60 : 993.12 = 439.96 : x
  2. Step 2: Convert to fraction form
    719.60/993.12 = 439.96/x
  3. Step 3: Cross multiply
    719.60x = 993.12 × 439.96
  4. Step 4: Simplify right side
    719.60x = 436,933.08
  5. Step 5: Solve for x
    x = 436,933.08/719.60
  6. Step 6: Final answer
    x = 607.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.