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Finding the Fourth Proportional to 478.96, 660.83 and 282.43

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Solution

The fourth proportional to 478.96, 660.83 and 282.43 is: 389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.96 : 660.83 = 282.43 : x
  2. Step 2: Convert to fraction form
    478.96/660.83 = 282.43/x
  3. Step 3: Cross multiply
    478.96x = 660.83 × 282.43
  4. Step 4: Simplify right side
    478.96x = 186,637.27
  5. Step 5: Solve for x
    x = 186,637.27/478.96
  6. Step 6: Final answer
    x = 389.67

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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.