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Finding the Fourth Proportional to 478.82, 719.04 and 262.55

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Solution

The fourth proportional to 478.82, 719.04 and 262.55 is: 394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.82 : 719.04 = 262.55 : x
  2. Step 2: Convert to fraction form
    478.82/719.04 = 262.55/x
  3. Step 3: Cross multiply
    478.82x = 719.04 × 262.55
  4. Step 4: Simplify right side
    478.82x = 188,780.36
  5. Step 5: Solve for x
    x = 188,780.36/478.82
  6. Step 6: Final answer
    x = 394.27

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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.