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Finding the Fourth Proportional to 478.96, 719.05 and 262.69

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Solution

The fourth proportional to 478.96, 719.05 and 262.69 is: 394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.96 : 719.05 = 262.69 : x
  2. Step 2: Convert to fraction form
    478.96/719.05 = 262.69/x
  3. Step 3: Cross multiply
    478.96x = 719.05 × 262.69
  4. Step 4: Simplify right side
    478.96x = 188,887.24
  5. Step 5: Solve for x
    x = 188,887.24/478.96
  6. Step 6: Final answer
    x = 394.37

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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.