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Finding the Fourth Proportional to 478.56, 660.53 and 282.14

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Solution

The fourth proportional to 478.56, 660.53 and 282.14 is: 389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.56 : 660.53 = 282.14 : x
  2. Step 2: Convert to fraction form
    478.56/660.53 = 282.14/x
  3. Step 3: Cross multiply
    478.56x = 660.53 × 282.14
  4. Step 4: Simplify right side
    478.56x = 186,361.93
  5. Step 5: Solve for x
    x = 186,361.93/478.56
  6. Step 6: Final answer
    x = 389.42

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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.